What is the expression 2.2x+4.4 factored? Thank you!!

together,sarah's two cats have the same mass as her dog,11 kg.the mass of one cat is 1500 g greater than the mass of the other.

Alika [10]

Let (a) be the first cat
let (b) be the second cat
a +b=11kg-----(1)
a=b+1500g⇒(1.5 kg)-------(2)
so now u have a system of two unknowns
a=11-b
substitute a in (2)
11-b=b+1.5
11-1.5=2b
2b=9.5
b=9.5/2=4.75
subs. b in (1)
a+b=11
a+4.75=11
a=11-4.75=6.25
so cat (a) is 6.25 kg
and (b) is 4.75 kg
hope I helped

6 0

2 years ago

Please help I will give brianliest

alexdok [17]

Answer:

That would be the 3rd explanation, the plane has 4 points.

Step-by-step explanation:

3 0

2 years ago

PLS TRY TO ANSWER ASAP.

Harrizon [31]

Answer:

0.075 m/min

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

1. Write the equation for the volume of the cone:

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

2. Find the relation between the radius and the height:

r = diameter/2 = 5m/2 = 2.5m

h = 5.2m

h/r =5.2 / 2.5 = 2.08

3. Filling the tank:

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

x/y=r/h

y = x . h / r

The volume of water inside the cone is:

$V=\dfrac{1}{3}\pi x^2y$

$V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3$

4. Find the derivative of the volume of water with respect to time:

$\dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}$

5. Find x² when the volume of water is 8π m³:

$V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\ 11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062$ m²

6. Solve for dx/dt:

$1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}$

$\dfrac{dx}{dt}=0.03596m/min$

7. Find dh/dt:

From y/x = h/r = 2.08:

$y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min$

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0

2 years ago

The price of a computer component is decreasing at a rate of 15% per year.

Alex_Xolod [135]

Answer:

exponential
$30.71

Step-by-step explanation:

Usually, this wording means the decrease is proportional to the current price, characteristic of an exponential function.

__

The decay factor is 1-(decay rate), so is 1-0.15 = 0.85. After 3 years, the value has been multiplied by this factor 3 times:

$50×0.85³ ≈ $30.71 . . . . cost in 3 years

_____

Comment on percent per year

Less often, the indicated decrease is intended to be that percentage of the original price. The result is that the price decreases by a constant amount each year, a linear decrease. This condition most often arises in conjunction with figuring depreciation in value for tax or accounting purposes.

The upshot is that you always need to be careful to understand what the base of a percentage is intended to be.

5 0

2 years ago

Write the contrapositive of the statement below.

hram777 [196]

If a triangle does not have one angle greater than 90Â°, then it is not an obtuse triangle. Remember that you create a contrapositive by inverting and swapping both terms. So if you have if A then B the contrapositive would be if not-B then not-A Since you've been given "If a triangle is an obtuse triangle, then it has one angle with measure greater than 90Â°" the contrapositive would be something like "If a triangle has no angles with a measure greater than 90Â°, then it is not an obtuse triangle." So, now look at the available choices and see what matches in intent even if it's not phrased exactly the same. The option "If a triangle does not have one angle greater than 90Â°, then it is not an obtuse triangle." matches the intent of the contrapositive that we constructed independently and is the correct answer.

8 0

2 years ago

What is the expression 2.2x+4.4 factored?Thank you!!