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3 years ago

5+ [14 + 5 - {6 (5 + 1 - 4)}] simplify

Mathematics

1 answer:

IceJOKER [234]3 years ago

5 0

Answer:

Step-by-step explanation:

1) 5+19−6(5+1−4)

2)5+19−6(6−4)

3)5+19−(6)(2)

4)5+19−12

5) 5+7

6) 12

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Can y = sin(t2) be a solution on an interval containing t = 0 of an equation y + p(t) y + q(t) y = 0 with continuous coefficient

JulsSmile [24]

Answer:

Step-by-step explanation:

y = sin(t^2)

y' = 2tcos(t^2)

y'' = 2cos(t^2) - 4t^2sin(t^2)

so the equation become

2cos(t^2) - 4t^2sin(t^2) + p(t)(2tcos(t^2)) + q(t)sin(t^2) = 0

when t=0, above eqution is 2. That is, there does not exist the solution. so y can not be a solution on I containing t=0.

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3 years ago

A frame of width a surrounds a 5 by 7 inch photograph. Find the expression that represents the area of the frame in terms of a.

Arada [10]

See diagram
totalarea=totallengtht times totalwidth=(2a+5) times (2a+7)=4a²+24a+35

minus original aera
which is 5 by 7 which is 35

4a²+24a+35-35=4a²+24a

3rd option I think, can't tell which is which

4 0

3 years ago

An arhitect wants to draw a rectangle with a diagonal of 20 inches. The length of the rectangle is to be 8 inches more than twic

kiruha [24]

The diagonal of a rectangle = sqrt(w^2 + l^2)

w = width

l = length

In this problem,

The diagonal = 20 in

w = x

l = 2x + 8

Let's plug our numbers into the formula above.

20in = sqrt((x)^2 + (2x + 8)^2)

Let's simplify the inside of the sqrt

20 in = sqrt(5x^2 + 32x + 64)

Now, let's square both sides.

400 = 5x^2 + 32x + 64

Subtract 400 from both sides.

0 = 5x^2 + 32x - 336

Factor

0 = (5x - 28)(x + 12)

Set both terms equal to zero and solve.

x + 12 = 0

Subtract 12 from both sides.

x = -12

5x - 28 = 0

Add 28 to both sides.

5x = 28

Divide both sides by 5

x = 28/5

The width cant be a negative number so now we know that the only real solution is 28/5

Let's plug 28/5 into our length equation.

Length = 2(28/5) + 8 = 56/5 + 8 = 96/5

In conclusion,

Length = 96/5 inches

Width = 28/5

4 0

3 years ago

Which expression is equivalent to 2(4f+2g)

serious [3.7K]

Answer:

8f+4g

Step-by-step explanation:

distribute the 2 to 4f and 2g. Thats all you can do to the expression tho

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3 years ago

The question says “The image shows the front of Bob’s barn.Bob plans on painting the front of his barn,not including the doors o

AleksandrR [38]

Bob need to paint 205 square feet.

Solution:

Length of the door = 7 ft

Breadth of the door = 5 ft

Area of the door = length × breadth

= 7 × 5

= 35

Area of the door = 35 ft²

The given image is a trapezoid.

Top base = 12 ft

Bottom base = 20 ft

Area of the trapezoid = $\frac{1}{2} \times\text{sum of the parallel sides}\times\text{height}$

$$=\frac{1}{2}\times(12+20)}\times15$

$$=\frac{1}{2}\times 32\times15$

= 240

Area of the trapezoid = 240 ft²

Surface area to paint = Area of the trapezoid – Area of the door

= 240 ft² – 35 ft²

= 205 ft²

Hence Bob need to paint 205 square feet.

6 0

3 years ago

5+ [14 + 5 - {6 (5 + 1 - 4)}] simplify​

5+ [14 + 5 - {6 (5 + 1 - 4)}] simplify