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Serjik [45]
2 years ago
5

Mason stands on the 5th step of a vertical ladder. The ladder has 15 steps, and the height difference between consecutive steps

is 0.5M. H(N) models the height above the ground of Mason's feet (in M) after moving N steps (if Mason went down the ladder, N is negative). Which number type is more appropriate for the domain of H? What's the appropriate domain?
Mathematics
2 answers:
Anna [14]2 years ago
6 0

Answer:

integers

−5≤n≤10

Step-by-step explanation:

MrMuchimi2 years ago
5 0
Which number type?  I'd go with Whole numbers or integers, since the steps are just whole values one step after the next.

well, an appropriate domain, namely the inputs, well, He's on the 5th step, there are 15 steps, so he's really 10 steps away from the top of the ladder, and going down N being negative, he's -5 steps from the ground.

{ N | N ∈ ℤ ,  -5 ⩽ N ⩽ 10 }
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Lyman Company returned $750 of goods it had purchased from another company. The original invoice was for $4,200, 3/10, n/30. Wha
Scilla [17]
Calculation: 
<span>3/10   </span><span><span>             3---------></span>3% discount</span><span><span>     
                      10--------></span>the days in the discount period, the company has 10 days to pay the bill in full.</span> 

Therefore

Lyman pays the balance within the discount period

 ($4,200 – $750) x .03 = $103.50

the discount is <span>$103.50</span>

4 0
2 years ago
The total area of the polygon is 176 square feet. Find the value of x.
My name is Ann [436]

Answer:

x = 6 ft

Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 = \frac{1}{2}(\text{Base})(\text{Height})

                                                              = \frac{1}{2}(x)(8)

                                                              = 4x square feet

Area of rectangle 2 = Length × Width

                                 = 16 × 8

                                 = 128 square feet

Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x = \frac{48}{8}

x = 6 ft

5 0
2 years ago
Read 2 more answers
Megan spent $9.85 on ingredients to make one pan of cereal bar and has a length of 24 inches and a width of 16 inches. Megan nee
masya89 [10]

Answer:

96 bars = 10cent each (dime/pence etc) 10.2604166667 each

Step-by-step explanation:

if the cereal bars are accounted for 24inch x 4inch and 4inch lengths seem appropriate length, Then we can account for 1inch x 16 inch widths being 1'' wide each. 6 x 16 = 96 and 96/388 = 4 being the length.

Extended: Area of pan 24 x 16 = 240+148= area of 388in^2

96 bars costing ($9.85) 985/96

3 0
2 years ago
The green turtle lays eggs that are approximately spherical with an average diameter of 4.5 centimeters. each turtle lays an ave
Art [367]
The average volume if these eggs will be found as follows:
Volume of one egg is:
V=4/3πr²
V=4/3×π×(4.5/2)^3
V=71.57 cm³
Given that the turtle lays on average 113 eggs, thus the total volume of eggs will be:
(113×71.57)
=8187.41~8187 cm³

4 0
2 years ago
Each of the 10 students in the baking club made 2 chocolate cakes for a fundraiser. They all used the same recipe, using C cups
8090 [49]

Answer:

The expression is C/20 cups of flour in one cake

Step-by-step explanation:

* Lets explain how to solve the problem

- There are 10 students

- Each one made 2 chocolate cakes

- They all used the same recipe

- The total amount of flour is C cups

* Lets change these information to equation

∵ There are 10 students

∵ Each student made 2 cakes

∴ The total number of cakes = 10 × 2 = 20 cakes

∵ The total amount of flour for the twenty cakes is C cups

- To find the amount of flour in each cake divide the total amount

  of flour by the total number of the cakes

∴ The amount of flour in each cake = C/20

* The expression is C/20 cups of flour in one cake

7 0
2 years ago
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