All categories

2 years ago

3 + x = 4 is the same as 4 = 3 + x. This is an example of which algebraic property?

Mathematics

2 answers:

Genrish500 [490]2 years ago

7 0

I believe it would be D, but im not certain.

11Alexandr11 [23.1K]2 years ago

7 0

D is the coorect answer

You might be interested in

Dawn's credit card has an APR of 15%, calculated on the previous monthly

hodyreva [135]

125.13

Step-by-step explanation:

8 0

2 years ago

The volume of a cone is 3rx? cubic units and its height is x units. Which expression represents the radius of the cone's base, i

Marianna [84]

Answer:

It is given that the volume of a cone = $3\pi x^3$ cubic units

Volume of cone with radius 'r' and height 'h' = $\frac{1}{3}\pi r^2h$

Equating the given volumes, we get

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

$r^2h=3$ × $3x^3$

$r^2h=9 x^3$

It is given that the height is 'x' units.

Therefore, $r^2x=9x^3$

$r^2=9x^2$

Therefore, $r=3 x$

So, the expression ' $3 x$ ' represents the radius of the cone's base in units.

3 0

1 year ago

PLEASE HELP ME OUT IM FAILING MATH

MrMuchimi

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

11Alexandr11 [23.1K]

Answer:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

Question 3: $m=10e^{(0.2t)}$

Question 4: $m=10g$

Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

a) Separate variables

$dm/m=0.2dt$

b) Integrate

$\int dm/m=\int 0.2dt$

$ln(m)=0.2t+C$

c) Antilogarithm

$m=e^{0.2t+C}$

$m=e^{0.2t}\cdot e^C$

$e^C=A\\\\m=Ae^{(0.2t)}$

Question 3. Which particular solution matches the additional information?

Use the measured rate of 4 grams per hour after 3 hours

$t=3hours,dm/dt=4g/h$

First, find the mass at t = 3 hours

$dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g$

Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

Particular solution:

$m=10e^{(0.2t)}$

Question 4. What was the mass of the bacteria at time =0?

Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

3 0

3 years ago

A bag of ice pops contains 2 flavored raspberry, 5 flavored lemon, and 3 flavored lime. Find the probability of each event.

alexira [117]

Answer:

A) 2/10 or 20%

B) 3/10 or 30%

Step-by-step explanation:

There are 10 ice pops.

10 is going to be your denominator

Your numerator is going to be whatever amount of ice pops is.

After finding your fraction, divide the numerator by the denominator.

Lastly turn your decimal into a fraction.

2/10=0.2=20%

Hope I helped you.

8 0

3 years ago