All categories

3 years ago

Which situation could be described by this expression?

Mathematics

2 answers:

Dvinal [7]3 years ago

4 0

25 divided by a number will produce a smaller number and equal parts of the numerator. which answer would result in smaller equal parts?

B

ioda3 years ago

4 0

Your answer will be b hope that helps

You might be interested in

Please answer I will make brainlest:)

Georgia [21]

Answer:

(3,-4)

Step-by-step explanation:

7 0

3 years ago

Please, I need help in this ??

nignag [31]

Answer:

$\int\frac{x^{4}}{x^{4} -1}dx = x + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1)-\frac{1}{2} arctanx + c$

Step-by-step explanation:

$\int\frac{x^{4}}{x^{4} -1}dx$

Adding and Subtracting 1 to the Numerator

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

Dividing Numerator seperately by $x^{4} - 1$

$\int 1 + \frac{1}{x^{4}-1 }\, dx$

Here integral of 1 is x +c1 (where c1 is constant of integration

$x + c1 + \int\frac{1}{(x-1)(x+1)(x^{2}+1)}\, dx$ ----------------------------------(1)

We apply method of partial fractions to perform the integral

$\frac{1}{(x-1)(x+1)(x^{2}+1)}$ = $\frac{A}{x-1} + \frac{B}{x+1} + \frac{C}{x^{2} + 1}$ ------------------------------------------(2)

$\frac{1}{(x-1)(x+1)(x^{2}+1)} = \frac{A(x+1)(x^{2} +1) + B(x-1)(x^{2} +1) + C(x-1)(x+1)}{(x-1)(x+1)(x^{2} +1)}$

1 = $A(x+1)(x^{2} +1) + B(x-1)(x^{2} +1) + C(x-1)(x+1)$ -------------------------(3)

Substitute x= 1 , -1 , i in equation (3)

1 = A(1+1)(1+1)

A = $\frac{1}{4}$

1 = B(-1-1)(1+1)

B = $-\frac{1}{4}$

1 = C(i-1)(i+1)

C = $-\frac{1}{2}$

Substituting A, B, C in equation (2)

$\int\frac{x^{4}}{x^{4} -1}dx$ = $\int\frac{1}{4(x-1)} - \frac{1}{4(x+1)} -\frac{1}{2(x^{2}+1) }$

On integration

Here $\int \frac{1}{x}dx = lnx and \int\frac{1}{x^{2}+1 } dx = arctanx$

$\int\frac{x^{4}}{x^{4} -1}dx$ = $\frac{1}{4} ln(x-1)$ - $\frac{1}{4} ln(x+1)$ - $\frac{1}{2} arctanx$ + c2---------------------------------------(4)

Substitute equation (4) back in equation (1) we get

$x + c1 + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1) - \frac{1}{2} arctanx + c2$

Here c1 + c2 can be added to another and written as c

Therefore,

$\int\frac{x^{4}}{x^{4} -1}dx = x + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1)-\frac{1}{2} arctanx + c$

4 0

4 years ago

Use Euler's Formula to find the missing number.<br>Faces: 20<br>Edges: 30<br>Vertices:

adoni [48]

Answer:

V=12

Step-by-step explanation:

Faces: 20 Edges: 30

Write the Euler's formula for 3-dimensional figures

F+V=E+2

Substitute some variables for their known values

20+V=30+2

Add the numbers on the right side of the equation

20+v=32

Subtract 20 on both sides

20-20+V=32-20

Subtract

V=32-20

Number of Vertices

V=12

7 0

3 years ago

Zoey has 99 years .She plans to make 5 bangles .Each bangle is made using 30 beads how many more beads does zoey need?

drek231 [11]

Note: I am assuming you meant to say:

Zoey has 99 beads instead of 99 years.

Answer:

Zoey needs 51 more beads to make 5 bangles.

Step-by-step explanation:

Total number of beads Zoey currently has = 99 beads

Beads need to make one bangel = 30 beads

Beads need to make 5 bangles = 30 × 5 = 150 beads

Since she has already 99 beads.

So, all we need s to subtract 99 beads from 150 beads.

Therefore,

The number of beads Zoey needs = 150 - 99

= 51 beads

Thus, Zoey needs 51 more beads to make 5 bangles.

4 0

3 years ago

TRUE OF FALSE

Keith_Richards [23]

Answer:

false it does not change the shape but it does change the size

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers