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4 years ago

: m +3m + 6 = 4m - 9+ 15 Solve for the variable

Mathematics

1 answer:

Sergeu [11.5K]4 years ago

3 0

Answer:

<h2>Solution: each real number</h2>

Step-by-step explanation:

$m+3m+6=4m-9+15\qquad\text{combine like terms}\\\\(m+3m)+6=4m+(-9+15)\\\\4m+6=4m+6\qquad\text{subtract}\ 4m\ \text{from both sides}\\\\4m-4m+6=4m-4m+6\\\\6=6\qquad\bold{TRUE}\\\\\bold{CONCLUSION:}\ \text{infinitely many solutions}$

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What is a 5 if an = an - 1<br> 2 and the first term is 8?

iren [92.7K]

Answer:

-3

Step-by-step explanation:

7 0

3 years ago

To begin a bacteria study, a petri dish had 1800 bacteria cells. Each hour since, the number of cells has increased by 15%.

rodikova [14]

Answer:

The exponential function is $C(t)=y(b)^t\ Or\ C(t)=1800(1.15)^1$

Step-by-step explanation:

Given

$t$ be the number of hours.

$y$ number of bacteria cells.

And we know that an exponential function is $C(t)=y(b)^t$ ,where $b$ is a positive real number, and in which the argument $t$ occurs as an exponent

The petri dish has $1800$ bacteria cells we can say that $y=1800$

In the equation as $C$ is function of time and $(t)$ will vary as $1,2,3$ for respective hours.

To find the value of $b$ we have to understand that it is dependent on percent increase if there is increment of $15\%$ then $b=1+15\%=1+\frac{15}{100}=1+0.15=1.15$

So the exponential function will be $C(t)=y(b)^t$ ,plugging the values it will be equivalent to $C(t)=1800(1+0.15)^1$

Check:

$15\% of 1800 =0.15\times 1800=270$

So in first hour the cells will increased by a quantity of $270$ cells.

The number of cells after an hour in the petri dish $=(1800+270)=2070$

That can also be from the formula.

$C(t)=1800(1.15)^1=2070$

So the exponential function is $C(t)=y(b)^t\ Or\ C(t)=1800(1.15)^1$

$y$ will increase exponentially as the value of $t$ increase.

5 0

3 years ago

PLEASE HELP DUE AT 11:59

mariarad [96]

The answer would be D

4 0

3 years ago

An ice cream cone has a diameter of 3 inches.The distance from the top of the cone to the point at the bottom (height) is 5 inch

solong [7]

Answer:

11.781 cubic inches (round accordingly)

Step-by-step explanation:

The formula for the volume of a cone is:

$V=\frac{1}{3}\pi r^{2} h$

where r is the radius and h is the height.

For our ice cream cone:

d = 3 inches

r = 1.5 inches (the radius is half of the diameter)

h= 5 inches

So all we have to do is plug in our values and solve for the volume:

$\frac{1}{3}\pi (1.5)^{2}(5) = 11.781$

So our final answer is around 11.8 cubic inches.

3 0

3 years ago

What’s the correct answer for this?

Dima020 [189]

Answer:

(2,7)

Step-by-step explanation:

We know that the change in x from A to M is -2, and the change in y is 1 -- we can simply double that and add that to A to get B, as M is halfway between A and B. Thus, (6,5)+(-4,2)=(2,7) as the coordinates of B

6 0

4 years ago

Read 2 more answers