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grandymaker [24]
2 years ago
11

an entertainment firm offers several DJ choices and light show that range in price based on the rental time period. the DJ's cos

t between $219.00 and $369.00 per night and the night show cost between $159.00 and $309.00 per night. if you are booking both a DJ and a night show, write a compound and inequality that represent the possible total amount you would pay, x.
Mathematics
1 answer:
Mnenie [13.5K]2 years ago
4 0

Answer:

219 + 159 <= x <= 369 + 309

378 <= x <= 678

Step-by-step explanation:

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Plz help will mark brainliest
Leni [432]

Answer:

∠ A = 82°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

A is an exterior angle of the triangle, then

∠ A = 49° + 33° = 82°

7 0
3 years ago
A boat on the ocean is 2 mi from the nearest point on a straight? shoreline; that point is 15 mi from a restaurant on the shore.
Sladkaya [172]

Answer:

a) x  =  0,70 miles

T  =  1/2* (√4 + x²)  +( 15 - x )/3   Objective Function to minimize

b) V(min)  = 2.59 m/hr

Step-by-step explanation:

Let assume the boat is in Point A,  she lands in point B, and R  is the restaurant

Let call  x distance between the point O in  which perpendicular line from the boat get to shoreline, and the point were she land.

We know  distance is

d = v*t       ⇒  t = d/v

She rows at 2 miles/hr  and walk at 3 miles /hr

According to that she takes

c (hypotenuse) of right triangle  AOB/ 2 rowing

and  15 - x /3  walking

Total time is:

T  =  c/2  + ( 15-x )/3          c =√(2)² + x²     ⇒  T = [√(2)² + x²  ] /2  +  ( 15-x )/3  

T  =  1/2* (√4 + x²)  +( 15 - x )/3   (1)

And that is  the Objective function to minimize

a) Taking derivatives on both sides of the equation we get

T´(t)  =  x /( √4 + x²)  - 1/3    ⇒   T´(t)  = 0     x /( √4 + x²)  - 1/3 = 0

3*x - √( √4 + x²) = 0     ⇒  3*x  =  √( √4 + x²)

Squaring both sides

9x²  =  4 + x²     ⇒  8x²  = 4       x² = 1/2      x  =  0,70 miles

If we plug this value in the Objective function we will get the minimum time

1/2* (√4 + x²)  +( 15 - x )/3    ⇒ [√ 4  + 0,5] /2 +  14,3/3 = T (min)

T(min)  =  1.06 + 4.77  = 5.83 hr

Distance L (hypotenuse of right triangle AOR)

L = √(2)²  + (15)²   L  = 15,13 miles

And that distance have to be traveled at least in 5.83 hr rowing

Then  as  v = d/t      V(min)  =  15.13/ 5.83   ⇒    V(min)  = 2.59 m/hr

6 0
3 years ago
Fill in the table in the photo​
Fittoniya [83]

Answer:

  see the attachment

Step-by-step explanation:

If the growth is 7 feet in 2 weeks and the rate is constant, then it will be half that in one week, or 3.5 feet per week. At week 3, it will be 3.5 feet more than at week 2. The table below shows this progression.

The point (0, 0) means there was no measurable growth when time was starting to be measured (at week 0).

3 0
3 years ago
Kaitlin is fertilizing her garden. The garden is in the shape of a rectangle. Its length is 14 feet and its width is 11 feet. Su
RSB [31]

Answer: 7

Step-by-step explanation:

11 x 14 = 154

154/22= 7

4 0
3 years ago
Read 2 more answers
Consider the experiment of flipping a coin 4 times where the probability of flipping a heads is 0.18. So each outcome of the exp
seropon [69]

Answer:

0.397

Step-by-step explanation:

In the experiment, if the coin is flipped 4 times, the outcomes in which there is a single heads out of the 4 flips are:

HTTT,THTT,TTHT and TTTH

The probability of flipping a head, P(Head)=0.18

Therefore: The probability of flipping a tail, P(Tail)=1-0.18=0.82

We can then calculate the probability that there is a single heads out of the 4 flips

=P(HTTT)+P(THTT)+P(TTHT)+P(TTTH)

=(0.18 X 0.82 X 0.82 X 0.82) + (0.82 X 0.18 X  0.82 X 0.82) + (0.82  X  0.82 X 0.18 X 0.82 )+ (0.82  X  0.82 X 0.82 X 0.18)

=4(0.18X0.82^3)\\=0.39698496\\\approx 0.397

7 0
3 years ago
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