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3 years ago

AC if TC = 20q + 10q^2?

Mathematics

1 answer:

Alexus [3.1K]3 years ago

4 0

Answer:

AC = (20+ 10q)

Step-by-step explanation:

Given that,

Total cost, TC = 20q + 10q²

We need to find AC i.e. average cost.

It can be solved as follows :

$AC=\dfrac{TC}{q}\\\\AC=\dfrac{20q + 10q^2}{q}\\\\AC=\dfrac{q(20+ 10q)}{q}\\\\AC={(20+ 10q)}$

So, the value of AC is (20+ 10q).

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In triangle MNO shown below, segment NP is an altitude:

Effectus [21]

Answer: C. Definition of an Altitude

Step-by-step explanation:

Given: In triangle MNO shown below, segment NP is an altitude from the right angle.

Let ∠MNP=x

Then ∠PNO=90°-x

Therefore in triangle MNO,

∠MPN=∠NPO =90° [by definition of Altitude]

[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]

Now using angle sum property in ΔMNP

∠MNP+∠MPN+∠PMN=180°

⇒x+90°+∠PMN=180°

⇒∠PMN=180°-90°-x

⇒∠PMN=90°-x

Now, in ΔMNO and ΔPNO

∠PMN=∠PNO=90°-x

and ∠MPN=∠NPO =90° [by definition of altitude]

Therefore by AA similarity postulate, we have

ΔMNO ≈ ΔPNO

5 0

3 years ago

16|r-5|=-32 HELP i suck at algebra plz

Ivan

Answer:

Step-by-step explanation:

5 0

3 years ago

Please help, see attachment for equation!

Alekssandra [29.7K]

Answer:

The answer to your question is the last option

Step-by-step explanation:

Quadratic equation

2 = - x + x² - 4

Order the equation from the highest power to the lowest power. Do not consider 2 because it is not consider in the options given.

x² - x - 4 = 0

Identify a, b and c

(1) x² -(1) x - 4 = 0

a = 1 b = -1 c = - 6

Substitution

$\frac{-(-1) +- \sqrt{(-1)^{2} - 4(1)((-4)}}{2(1)}$

3 0

3 years ago

A long distance runner does a first lap around a track in exactly 50 seconds.As she tires.Each subsequent lap takes 20% longer t

madreJ [45]

Answer:

182 seconds

Step-by-step explanation:

Given:

Time taken for first lap is 50 seconds and each subsequent lap takes 20% longer than previous

Solution:

Time taken for first lap = 50 sec

For second lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 50 sec

second lap = 50 + 20% of 50

second lap $=50+(\frac{20}{100}\times 50)$

second lap $= 50 + 10$

second lap $= 60\ sec$

For third lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 60 sec

Third lap = 60 + 20% of 60

$Third\ lap = 60 + (\frac{20}{100}\times 60)$

$Third\ lap = 60+2\times 6$

$Third\ lap = 60+12$

$Third\ lap = 72\ sec$

Time taken for 3 laps is equal to sum of all three laps time.

$Tiem\ taken\ for\ 3\ lap = 50+60+72$

$Tiem\ taken\ for\ 3\ lap = 182\ sec$

Therefore, it takes 182 seconds (3 min, 2 seconds) to run three laps

6 0

3 years ago

A pharmacist is trying to stock the pharmacy with cheaper alternatives for customers. She will stop carrying the more expensive

raketka [301]

Answer : C. Caplet form is the most expensive.

Tablet form comes in 50 mg tablets and cost $75.00 for a bottle of 100 tablets.

50 mg of 100 tablets so 50 * 100 = 5000mg

5000mg cost = $75.00

So 1mg of tablet form cost = $\frac{75}{5000}$ = 0.015

Capsule form comes in 75 mg capsules and cost $63.75 for a bottle of 85 capsules

75 mg of 85 capsules, so 75 * 85 = 6375mg

6375mg cost = $63.75

So 1mg of Capsule form cost = $\frac{63.75}{6375}$ = $0.01

Caplet form comes in 100 mg caplets and cost $70.00 for 40 caplets

100 mg of 40 caplets , so 100 * 40 = 4000 mg

4000mg cost = $70.00

So 1mg of Caplet form cost = $\frac{70}{4000}$ = $0.0175

Caplet form is the most expensive.

4 0

3 years ago

Read 2 more answers