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alexandr402 [8]
3 years ago
7

a rectangle has a length of 14 meters and a width of 200 centimeters. What is the area of the rectangle in meters?

Mathematics
1 answer:
Alborosie3 years ago
4 0

Answer:

a=28m^2

Step-by-step explanation:

Given:

l=14m

w=200cm

Required

a=?

w in meters

Formula:

1m=100cm

b=200cm---criss cross it

b*100cm/100cm=1m*200cm/100cm

b=2m

a=l*w

a=14m*2m

a=28m^2

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Which quadratic function has Vertex (-1,4) and passes through (4,19) <br> HELP
hichkok12 [17]

Answer:

f(x)=\frac{3}{5}(x+1)^2+4

Step-by-step explanation:

The equation of a quadratic function in vertex form is given by:

f(x)=a(x-h)^2+k

Where (h,k) is the vertex.

It was given in the question that the vertex of the parabola is (-1,4).

When we substitute the vertex into the formula we get:

f(x)=a(x+1)^2+4

The parabola also passes through (4,19) hence it must satisfy its equation.

19=a(4+1)^2+4

19-4=a(5)^2

15=25a

We divide both sides by 25 to get:

a=\frac{15}{25}= \frac{3}{5}

Hence the quadratic function is:

f(x)=\frac{3}{5}(x+1)^2+4

6 0
3 years ago
Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day. The
faltersainse [42]

Answer:

30units,2900

Step-by-step explanation:

Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.

The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.

If x units are produced and sold we have

Costs for x units = variable costs *x +Fixed costs = 400x+1600

Sales revenue = no of units sold * price = x(700-5x) = 700x-5x^2

Profit funciton = P(x) = Sales revenue - Total cost

= 700x-5x^2-400x-1600\\=300x-5x^2-1600

To get maximum profit we use derivative test I derivative =0 and II derivative =negative

P'(x) = 300-10x\\p"(x) = -10

Producing 30 units will maximize the profit.

Max profit

=P(30) = 2900

8 0
3 years ago
How much sand would you need to fill this box ?
grin007 [14]

Step-by-step explanation:

We have,

l =5ft

b=2ft

h=3ft

volume(v) = l \times b \times h

v = (l*b*h)

v = (5*2*3)ft

v = (30)ft

.•. v = 30ft

3 0
3 years ago
I need help please i would appreciate it​
Reptile [31]
Answer: 5/3

i hope that’s correct :)
3 0
3 years ago
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Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% o
andreev551 [17]

Answer:

150 dollhairs

Step-by-step explanation:

3 0
3 years ago
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