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valentina_108 [34]
3 years ago
10

TIME REMAINING

Mathematics
1 answer:
Marta_Voda [28]3 years ago
6 0

Answer:

It's 128ft

Step-by-step explanation:

To find how many cubic feet are in this cord of wood, you would just have to multiply

length x width x height

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ALGEBRA HELP PLZZZZZZZZZ
Elan Coil [88]
1st transformation:
A'=(-3,-4)\\
B'=(-7,-4)\\
C'=(-3,-8)\\
D'=(-7,-8)

2nd transformation:
When you rotate a point around the origin by 180 degrees, you change both coordinates to opposite values.
A''=(3,4)\\ B''=(7,4)\\ C''=(3,8)\\ D''=(7,8)

5 0
3 years ago
Cube is 27 cubic centimeters what is the area of each face
jarptica [38.1K]
Volume of a cube is side^3
therefor
v=27
27=side^3
what^3=27?
factor 27
27=3 times 3 times 3=3^3
27=side^3
3^3=side^3
cube roo bth sides
3=side

3 cm is on side
area=side^2
area=3^2
area=9 cm^2
8 0
3 years ago
Multiply the first number by its reciprocal
Tanzania [10]

Answer:

when we multiply a number by its reciprocal we get-

For example- 2/1 × 1/2 = 1 . Every number has a reciprocal except 0 (1/0 is undefined)

6 0
2 years ago
Read 2 more answers
SOLUTION We observe that f '(x) = -1 / (1 + x2) and find the required series by integrating the power series for -1 / (1 + x2).
Ann [662]

Answer:

Required series is:

\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

Step-by-step explanation:

Given that

                           f'(x) = -\frac{1}{1 + x^{2}} ---(1)

We know that:

                  \frac{d}{dx}(tan^{-1}x)=\frac{1}{1+x^{2}} ---(2)

Comparing (1) and (2)

                           f'(x)=-(tan^{-1}x) ---- (3)

Using power series expansion for tan^{-1}x

f'(x)=-tan^{-1}x=-\int {\frac{1}{1+x^{2}} \, dx

= -\int{ \sum\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx

= -\sum{ \int\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx

=-[c+\sum\limits^{ \infty}_{n=0} (-1)^{n}\frac{x^{2n+1}}{2n+1}]

=C+\sum\limits^{ \infty}_{n=0} (-1)^{n+1}\frac{x^{2n+1}}{2n+1}

=C-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

as

                 tan^{-1}(0)=0 \implies C=0

Hence,

\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

7 0
3 years ago
The product of two consecutive even integers is 224. what are the integers?
algol [13]

Answer:

16, -16, 14, and -14

Step-by-step explanation:

The easiest way of solving this question is by setting up an equation. Let's use "n" to represent any random possible integer.

n (n + 2)  = 224

Simplifying:

x^2 + 2n - 224 = 0

(n + 16)(n - 14) = 0

n = -16, 16 or n = -14, 14

<u>Check:</u>

16 * 14 = 224

-16 * -14 = 224

Thus, answers of 16, -16, 14, and -14 all work correctly.

3 0
3 years ago
Read 2 more answers
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