3 years ago

Solve the inequality 4p+7-p<31

Mathematics

1 answer:

AnnyKZ [126]3 years ago

3 0

P<8
hope this helps you

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Primitive function for:<br><br> 1. f(x)=4e2x+e−x, sådan att F(0)=2

Free_Kalibri [48]

The primitive function for $f(x) = 4e^{2x} + e^{-x}$ is given by it's indefinite integral.

To calculate it, recall:

$\frac{d}{dx}e^{ax}=ae^{ax}$

$\int c f(x)dx = c\int f(x)dx$

Let's begin

$\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1} + c\\$

$F(x) = 2e^{2x}-e^{-x} +c$

To find the costant, we just need to use the fact that $F(0)=2$

$F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3$

Therefore,

$\boxed{F(x) = 2e^{2x} - e^{-x} -3 }$

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2 years ago

How many distinct triangles can be formed for which m∠E = 64°, g = 9, and e = 10?

zysi [14]

Answer:

1) one

2) zero

Step-by-step explanation:

e/sinE = g/sinG

10/sin64 = 9/sinG

sinG = 0.8089146417

G = 53.99

j/sinJ = k/sinK

3/sin129 = 8/sinK

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3 years ago

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What is 84:7 in its lowest form

In-s [12.5K]

Divide both the numerator and denominator by the GCD so it’s 12/1

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2 years ago

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A rectangular room is 6.8 meters longer than it is wide, and perimeter is 29.6 meters. Find the dimensions of the room.

GuDViN [60]

Answer:

dimensions = 10.8 X 4

Step-by-step explanation:

Breadth/ width of room = x

Length of room = 6.8 + x

perimeter = 2 ( L + B )

29.6 = 2 ( 6.8 + x + x )

29.6/2 = 6.8 + 2x

14.8 - 6.8 = 2x

8 = 2x

8/2=x

4=x

Length of room = 6.8 + x = 6.8 + 4 = 10.8 m

Breadth/ width of room = x = 4m

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2 years ago

At a given time of the day, the ratio of the height of an object to the length of its shadow is the same for all objects. If a 3

Lubov Fominskaja [6]

Answer:

20.3 ft

Step-by-step explanation:

The object-shadow ratio for the stick= 3÷1.5=2:1

The object-shadow ratio is same for all objects.

Let height of the tree be x

2/1 = x/10.15

x=10.15 * 2=20.3

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3 years ago