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2 years ago

23 POINTS PLEASE ANSWER ASAP

Mathematics

1 answer:

Semmy [17]2 years ago

5 0

Answer:

48 grams O2 and 6 grams H2

Step-by-step explanation:

This is chemistry as well but it's fine.

If you have 3 moles of H20, you need 1.5 moles of O2 and 3 moles of H2, to satisfy the stoichiometry.

There are 32 grams in 1 mole of O2, so 1.5 moles of O2 is 48 grams.

Their are 2 grams in 1 mole of H2, so 3 moles of H2 is 6 grams.

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Can you use SAS (Side-Angle-Side) to prove<br> triangle congruence?

Maurinko [17]

Answer:

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent

Step-by-step explanation:

6 0

3 years ago

An executive invests $26,000, some at 8% and some at 6% annual interest. If he receives an annual return of $1,860, how much is

S_A_V [24]

Let x = amount invested at 8%
26000 - x = amount invested at 6%

0.08x + 0.06(26000 - x) = 1860

solving the equation you get x = 15000
and subtract that from 26000 you get 11000
8% investment = 15000
6% investment = 11000

5 0

3 years ago

An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.8 millimeters per minute At what rate is the

julia-pushkina [17]

Answer:

The rate of decrease is: $43.2mm^3/min$

Step-by-step explanation:

Given

$l = 18mm$

$\frac{dl}{dt} = -0.8mm/min$ ---- We used minus because the rate is decreasing

Required

Rate of decrease when: $l = 18mm$

The volume of the cube is:

$V = l^3$

Differentiate

$\frac{dV}{dl} = 3l^2$

Make dV the subject

$dV = 3l^2 \cdot dl$

Divide both sides by dt

$\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}$

Given that: $l = 18mm$ and $\frac{dl}{dt} = -0.8mm/min$

$\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)$

$\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min$

$\frac{dV}{dt} = -43.2mm^3/min$

<em>Hence, the rate of decrease is: 43.2mm^3/min</em>

8 0

3 years ago

A matatu carries 14 passengers per trip. In

PilotLPTM [1.2K]

Answer:

"23,520"

Step-by-step explanation:

one trip: 14 passengers

one day: 3 trips

passengers: 80

80x14= 1,120

1,120x3= 3,360

3,360x7= 23,520

6 0

2 years ago

Subtract. 5x^2-5x+1-(2x^2+9x-6)

Talja [164]

<h2>Hello!</h2>

The answer is:

$3x^{2} -14x+7$

To solve the problem we need to add/subtract like terms. We need to remember that like terms are the terms that share the same variable and the same exponent.

For example, we have:

$x^{2} +2x+3x=x^{2} +(2x+3x)=x^{2}+5x$

We have that we were able to add just the terms that were sharing the same variable and exponenr (x for this case).

So, we are given the expression:

$5x^2-5x+1-(2x^2+9x-6)=5x^{2}-2x^{2}-5x-9x+1-(-6)\\\\(5x^{2}-2x^{2})+(-5x-9x)+(1-(-6))=3x^{2}-14x+7$

Hence, the answer is:

$3x^{2} -14x+7$

Have a nice day!

4 0

3 years ago