How do I do functions with graphs?

Find m < RQP

Helga [31]

Answer:

80°

78% positive

6 0

3 years ago

- A rectangle has a width of 4.2 m and an area of 37.8 m2. Find the length and the

eimsori [14]

Answer: option c

length = 9m

Perimeter = 26.4m

Step-by-step explanation:

A rectangle has a width of 4.2 m and an area of 37.8 m^2

We want yo determine the length of the rectangle and the perimeter of the rectangle.

The perimeter of the rectangle is the distance round the shape. Let the width of the triangle be w.

The perimeter of the rectangle would be expressed as Length + width + length + width. This becomes

2(length +width). So the perimeter of the given rectangle is

2(length + 4.2) but the area is given as 37.8 m^2. Area of a rectangle is length × width. It becomes

37.8= length × 4.2

Length = 37.8/4.2 = 9m

Therefore, the perimeter is

2(length + 4.2) = 2(9+4.2)

Perimeter = 2× 13.2 = 26.4m

4 0

2 years ago

Karen, 28 years old and a single taxpayer, has a salary of $33,000 and rental income of $33,000 for the 2019 calendar tax year.

mart [117]

Answer:

$4,800

Step-by-step explanation:

The maximum contribution for traditional IRA in 2019 = $6000

Given that;

karen has a salary of $33,000 and rental income of $33,000; then total income = $66,000

AGI phase-out range for traditional IRA contributions for a single taxpayer who is an active plan participant is $64,000 – $74,000.

PhaseOut can be calculated as: $\frac{66,000-64000}{74,000-64,000} *6000$

= $\frac{2000}{10000} *6000$

= 0.2 * 6000

= 1200

Therefore, the maximum amount that Karen may deduct for contributions to her traditional IRA for 2019 = The maximum contribution for traditional IRA in 2019 - PhaseOut

= $6000 - $1,200

= $4,800

3 0

3 years ago

A tank has capacity 6 L and initially contains 11 mg of salt dissolved in 3 L of water. A solution containing 1 mg/L of salt ent

BlackZzzverrR [31]

Answer:

The answer is below

Step-by-step explanation:

a) The maximum capacity of he tank is 6 L and initially it contains 11 mg of salt dissolved in 3 L of water. Solution enters the tank at a rate of 3 L/hr, therefore in x hours, the amount of water that have entered the tank = 3x.

Solution also leaves the tank at a rate of 2L/hr, therefore in x hours, the amount of water that have left the tank = 2x

Hence the amount of water present in the tank at x hours is given as:

3 + 3x - 2x = 3 + x

The time taken to full the tank can be gotten from:

3 + x = 6

x = 6 - 3

x = 3 hr

b)

$\frac{dQ}{dx}=3-\frac{2Q}{3+x}\\ \\\frac{dQ}{dx}+\frac{2Q}{3+x}=3\\\\let\ u'=\frac{2u}{3+x}\\\\\frac{u'}{u}=\frac{2Q}{3+x}\\\\ln(u)=2ln(3+x)\\\\u=(3+x)^2\\\\(3+x)^2Q]'=3(3+x)^2\\\\(3+x)^2Q=(3+x)^3+c\\\\Q(0)=11\\\\(3+0)^2(11)=(3+0)^3+c\\\\x=72\\\\Q=x+3+\frac{72}{(x+3)^2}\\ \\Q(3)=3+3+\frac{72}{(3+3)^2}=8\ mg$

8 mg/ 6 L = 4/3 mg/L

8 0

3 years ago

A circular plate has a radius of 13 centimeters.

butalik [34]

To solve the problem, we need to get the formula for area of a circle -
Area = pi * r^2; r= radius
= 3.14 * (13cm)^2
= 3.14 * 169cm^2 or 3.14 * 13^2cm^2
= 530.66cm^2
Therefore, the area of the circular plate is 530.66cm^2

3 0

2 years ago

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