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3 years ago

Find derivative of y=(-3x^5+1)^3

Mathematics

1 answer:

sattari [20]3 years ago

6 0

Use the chain rule:

$\frac{\mathrm dy}{\mathrm dx}=3(-3x^5+1)^2\frac{\mathrm d[-3x^5+1]}{\mathrm dx}=3(-3x^5+1)^2(-15x^4)=\boxed{-45x^4(1-3x^5)^2}$

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Calcula la altura de Juan sabiendo que proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80 metros proyecta

den301095 [7]

Answer:

La altura de Juan por lo tanto es de 1.6 metros de altura

Step-by-step explanation:

Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:

Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.

Supongamos que x es la altura de juan que tenemos que calcular.

La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:

x= (1.8 metros/2.25 metros)*2

x=1.6 metros

La altura de Juan por lo tanto es de 1.6 metros de altura

5 0

2 years ago

Fourteen more than three times a number is the

Radda [10]

Answer:

14+3*x = 10-6*x

Step-by-step explanation:fourteen more means 14+ 3 times a number means 3 multiplied by a number x is the number of your choice and 10 less means 10 - and 6 times the number means 6*x

6 0

3 years ago

A vendor sold a combined 234 sodas and hot dogs. The number of sodas was two times the number of hot dogs sold. Find the number

babymother [125]

Answer:

156 hot dogs
78 sodas

Step-by-step explanation:

A group of 2 hot dogs and 1 soda makes a group of 3 items. There were ...

234/3 = 78

groups of items sold.

Since there is 1 soda in the group, that's 78 sodas. The number of hot dogs is 2 times that, or 156 hot dogs.

78 sodas and 156 hot dogs were sold.

6 0

3 years ago

Jessica is shopping for a new car. She found a blue car that has a 12-gallon gas tank and can go 384 miles on one tank. She foun

adelina 88 [10]

Answer:

Silver car

Step-by-step explanation:

It seems pretty hard but it's actually REALLY easy. gas mileage means the number of miles you can go on a particular amount of gallons. But the gallons have to be the same for both cars so that it's fair.

so let's go with 10 gallons. pretty broad number right?

so to get 12 gallons(the gallons for the blue car) to 10, We divide it by 12 then multiply it by 10. Try it yourself, (12/12)*10=???

then we do that to 384 (the miles for the blue car)

(384/12)*10=320

so 320 is the mileage for the first car. Repeat the steps for the silver car!

(14/14)*10=10

so then: (504/14)*10= 360.

So which is bigger, 320 or 360?

360 is bigger, meaning it has better gas mileage.

5 0

2 years ago

Lulu wants to get fit. She started with 50 laps a day and she intends to add 10 laps every week. Write a mathematical expression

vlabodo [156]

Answer: 10x + 50

Step-by-step explanation:

lets say that x is equal to the amount of weeks that she runs. She starts off the first week with 50

Then, since she is adding 10 every week, you would do 10x, or 10 times the amount of weeks that she runs.

Since you originally started with 50, you have to add the 50 to the 10x.

So you get...

For example

on week 2, if you plug in 2 to x you get

10(2) +50

20 + 50

70 laps after the second week

7 0

1 year ago