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3 years ago

What is the constant in this expression? m-4n+3.5+4/5p

2 answers:

6 0

3.5 is the constant. A constant is a term that only consists of a number and doesn't have any variable next to it, basically a number that stands by itself. In this case 3.5 is the only constant, lone number, in the equation, so 3.5 would be the answer.

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Lisa [10]3 years ago

5 0

Answer:

3.5

Step-by-step explanation:

We are given that an expression

$m-4n+3.5+\frac{4}{5}p$

We have to find the constant in the given expression

Constant:That number which is numerical number and do not change remain same.

Variable : That number which is represented by letter x, y etc and varying and do not remain same.

In the given expression 3.5 is constant because 3.5 is fixed and do not change.

Hence, 3.5 is constant.

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Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...

svlad2 [7]

Answer:

The required recursive formula is:

$a_n=(-3)\times a_{n-1}$

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let $a_n$ represents the nth term of the sequence.

This means that:

$a_1=6, a_2=-18, a_3=54, a_4=-162,......$

As the common ratio is -3.

so,

$a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}$

Hence, the required recursive formula for the geometric sequence is:

$a_n=(-3)\times a_{n-1}$

5 0

3 years ago

Which function is the inverse of f(x)=9x-3

DIA [1.3K]

F^-1(x)= x/9 + 1/3

To find this, just interchange the variables and solve for y.

y=9x-3
x=9y-3
x+3=9y
divide by nine

3 0

3 years ago

PLEASE HELP ASAP!!

Nitella [24]

Answer:

The radius of a sphere is 2 millimeters

The surface area of a sphere is 50.24 square millimeters.

The circumference of the great circle of a sphere is 12.56 millimeters.

Step-by-step explanation:

Verify each statement

case A) The radius of a sphere is 8 millimeters

The statement is false

we know that

The volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$V=100.48/3\ mm^{3}$

$\pi =3.14$

substitute and solve for r

$100.48/3=\frac{4}{3}(3.14)r^{3}$

$r^{3}=(100.48)/(4*3.14)$

$r=2\ mm$

case B) The radius of a sphere is 2 millimeters

The statement is True

(see the case A)

case C) The circumference of the great circle of a sphere is 9.42 square millimeters

The statement is false

The units of the circumference is millimeters not square millimeters

The circumference is equal to

$C=2\pi r$

we have

$r=2\ mm$

$\pi =3.14$

substitute

$C=2(3.14)(2)$

$C=12.56\ mm$

case D) The surface area of a sphere is 50.24 square millimeters.

The statement is True

Because

The surface area of the sphere is equal to

$SA=4\pi r^{2}$

we have

$r=2\ mm$

$\pi =3.14$

substitute

$SA=4(3.14)(2)^{2}$

$SA=50.24\ mm^{2}$

case E) The circumference of the great circle of a sphere is 12.56 millimeters.

The statement is true

see the case C

case F) The surface area of a sphere is 25.12 square millimeters

The statement is false

because the surface area of the sphere is $SA=50.24\ mm^{2}$

see the case D

7 0

3 years ago

Read 2 more answers

How would i graph y=− 5/2x-3 and x−y=−4 (_,_)

SashulF [63]

Given:

The system of equations is

$y=-\dfrac{5}{2}x-3$

$x-y=-4$

To find:

The graph of the given system of equations and its solution.

Solution:

The table of values for $y=-\dfrac{5}{2}x-3$ is

x y

-4 7

-2 2

0 -3

Plot these points and connect them by a straight line.

The table of values for $x-y=-4$ is

x y

-4 0

-2 2

0 4

Plot these points and connect them by a straight line.

From the below graph it is clear that the lines intersect each other at point (-2,2).

Therefore, the solution of given system of equation is (-2,2).

6 0

3 years ago

Is 63.90 greater than 63.990

djverab [1.8K]

Answer:

63.90 is greater than63.990

3 0

2 years ago

Read 2 more answers