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anastassius [24]
2 years ago
5

Henry is starting a T-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt. The equ

ipment will cost $1200. Henry orders 600 shirts and determines that the profit for his new business is modeled by the function p = 22x - 1200. What is the range of this function in this context? A.) {0 ≤ x ≤ 500} B.) {0 ≥ x ≥ 500} C.) {-1,200 ≤ P ≤ 2,000} D.) {-1,200 ≤ p ≤ 12,000}
Mathematics
2 answers:
DerKrebs [107]2 years ago
7 0
<span>{-1,200 ≤ P ≤ 2,000} </span>
Vikki [24]2 years ago
4 0

Answer:

Step-by-step explanation:

{-1,200 ≤ p ≤ 12,000}

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Cuboid ABCDEFGH is shown
gtnhenbr [62]

Answer:

The angle formed between CF and the plane ABCD is approximately 47.14°

Step-by-step explanation:

The given parameters are;

BC = 6.8

DE = 9.3

∠BAC = 52°

We note that the angles formed by the vertex of a cuboid are right triangles, therefore, by trigonometric ratios, we get;

sin∠BAC = BC/(The length of a line drawn from A to C)

∴ The length of the line drawn from A to C = BC/sin∠BAC

The length of the line drawn from A to C = 6.8/sin(52°) ≈ 8.63

∴ AC = 8.63

By trigonometry, we have;

The angle formed between CF and the plane ABCD = Angle ∠ACF

tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length}

tan\angle ACF = \dfrac{FA}{AC}

In a cuboid, FA = BG = CH = DE = 9.3

\therefore tan\angle ACF = \dfrac{9.3}{8.63}

\therefore \angle ACF = arctan \left(\dfrac{9.3}{8.63} \right) \approx 47.14^{\circ}

The angle formed between CF and the plane ABCD = Angle ∠ACF ≈ 47.14°

4 0
3 years ago
Which ratio is equivalent to five nine
salantis [7]

Answer:

30:54

Step-by-step explanation:

5:9 x 6 = 30:54

3 0
2 years ago
Find an equation of the line that passes through the point (4, 3) and is perpendicular to the line 2x + 9y − 6 = 0.
vesna_86 [32]
Perpendicular has the reciprocal slope and u have to put the point given into point slope.

y-3=9/2(x-4)

(The slope of the original equation was -2/9)
3 0
3 years ago
13.6% complete This is a Single Choice Question; skip ahead to question content A B C D E Confirm Difficulty Level: Moderate Som
Veronika [31]

Answer

about 4 hours and 20 minutes

Step-by-step explanation:

200 divided by 60 is 3.33 or 3 hours and 20 minutes, plus the extra hour

8 0
3 years ago
Kayla brought 80 packs of cat food to feed the cats outside.
Akimi4 [234]

Answer:

It's 24 packs of cat food

Step-by-step explanation:

You have to think of it as 30% of 80.

30      ?

----- = ----

100    80

Now you have to find out what is in the blank by doing 80 times 30 to find what that equals. That equals 2,400. Now you have to find what times a 100 gets you 2,400. You divide a 100 by 2,400 to get 24. There's your answer

5 0
3 years ago
Read 2 more answers
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