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3 years ago

To calculate 4 % tax on $63.78, multiply 4.2 times 63.78. T F It’s true

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

5 0

You would have to multiple 0.4 (which is 4%) by $63.78 which is 25.512

Scilla [17]3 years ago

4 0

Answer

False

Step-by-step explanation:

Cause i got it right on edge :)

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Consider the integral 8 (x2+1) dx 0 (a) Estimate the area under the curve using a left-hand sum with n = 4. 250 Is this sum an o

Leya [2.2K]

Answer:

(a) 120 square units (underestimate)

(b) 248 square units

Step-by-step explanation:

(a) left sum

See the attachment for a diagram of the areas being summed (in orange). This is the sum of the first 4 table values for f(x), each multiplied by 2 (the width of the rectangle). Quite clearly, the curve is above the rectangle for the entire interval, so the rectangle area underestimates the area under the curve.

left sum = 2(1 + 5 + 17 + 37) = 2(60) = 120 . . . . square units

(b) right sum

The right sum is the sum of the last 4 table values for f(x), each multiplied by 2 (the width of the rectangle). This sum is ...

right sum = 2(5 +17 + 37 +65) = 2(124) = 248 . . . . square units

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3 years ago

What is the meaning of the slope of the line ?

Mila [183]

Step-by-step explanation: In algebra, we use the word slope to describe how steep a line is and slope can be found using the ratio rise/run between any two points that are on that line.

The ratio rise/run is the equal to the rate of change

or the change in y/change in x.

In algebra, the rate of change or the change in y/change in x or

the rise/run is also called the slope of a line.

4 0

3 years ago

Simplify the expression. -3(b – 7)

pychu [463]

-3(b - 7)

Distributive property

-3*b = -3b

-3*7 = -21

-3b + 21

Answer: -3b + 21

6 0

3 years ago

What do the common denominator of 512 and 2/5

Margarita [4]

2560/5 would be 512 as a fraction with the same denominatir

8 0

3 years ago

. The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to nd

Blababa [14]

The question is:

The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y2(x) of the homogeneous equation

x²y'' - 7xy' + 16y = 0; y1 = x^4

Answer:

The second solution y2 is

A(x^4)lnx

Step-by-step explanation:

Given the homogeneous differential equation

x²y'' - 7xy' + 16y = 0

And a solution: y1 = x^4

We need to find a second solution y2 using the method of reduction of order.

Let y2 = uy1

=> y2 = ux^4

Since y2 is also a solution to the differential equation, it also satisfies it.

Differentiate y2 twice in succession with respect to x, to obtain y2' and y2'' and substitute the resulting values into the original differential equation.

y2' = u'. x^4 + u. 4x³

y2'' = u''. x^4 + u'. 4x³ + u'. 4x³ + u. 12x²

= u''. x^4 + u'. 8x³ + u. 12x²

Now, using these values in the original equation,

x²(u''. x^4 + u'. 8x³ + u. 12x²) - 7x(u'. x^4 + u. 4x³)+ 16(ux^4) = 0

x^6u'' + 8x^5u' + 12x^4u - 7x^5u' - 28x^4u + 16x^4u = 0

x^6u'' + x^5u' = 0

xu'' = -u'

Let w = u'

Then w' = u''

xw' = -w

w'/w = -1/x

Integrating both sides

lnw = -lnx + C

w = Ae^(-lnx) (where A = e^C)

w = A/x

But w = u'

So,

u' = A/x

Integrating this

u = Alnx

Since

y2 = uy1

We have

y2 = (Alnx)x^4 = (Ax^4)lnx

Therefore, the second solution y2 is

A(x^4)lnx

6 0

3 years ago