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yaroslaw [1]
3 years ago
12

What does the phrase"between 7.2 and 7.6, inclusive" mean?

Mathematics
1 answer:
nalin [4]3 years ago
3 0
The phrase gives you an interval where the extremes are included.

The intervals may be indicated in several ways. 
 7.2 ≤ x ≤ 7.6
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Amber went on a road trip over winter vacation. She recorded how far she had traveled in the table below in relation to the numb
svlad2 [7]

Answer:

B

Step-by-step explanation:

it shows every 4 hours, so:

560-336=224

224:4=56 per hour

6 0
2 years ago
Figure B is a scale image of Figure A, as shown.
galina1969 [7]

Answer:

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3 0
3 years ago
Please help me , btw it’s study island .
Anni [7]

a. The water in the second tank decreases at a faster rate than the water in the first tank. The initial water level in the first tank is greater than the initial water level in the second tank.

Step-by-step explanation:

Step 1:

It is given that the time remaining in first tank is given by the equation y = -10x + 80. We can get the total water in the tank by substituting x = 0 in the equation. The total volume of water in first tank is 80 litres.

Step 2:

The value of y in the equation y = -10x + 80 will be 0 when the tank is fully empty. When y = 0 , 10x = 80, so x = 8. We can conclude that the first tank empties fully in 8 minutes.

In 8 minutes 80 litres of water is emptied from first tank. So the water in the first tank decreases at  rate of 80 / 8 = 10 litres per minute

Step 3:

As per the given table for the second tank, 60 litres of water remains when x =0. So the total volume of water in the second tank = 60 litres.

Step 4:

As per the given table for the second tank, the volume becomes 0 in 5 minutes. In 5 minutes 60 litres of water is emptied from second tank. So the water in  second tank decreases at rate of 60 / 5 = 12 litres per minute.

Step 5:

The initial volume of water in first tank is higher. The water in  second tank decreases at a faster rate than the first tank.

Step 6:

The only correct option is:

a. The water in  second tank decreases at a faster rate than the water in the first tank. The initial water level in  first tank is greater than the initial water level in the second tank.

5 0
3 years ago
What is the area of the shaded region?
Verdich [7]
<h2>Area of Composite Shapes</h2>

To find the area of composite shapes, we can break the bigger shape down into small, simpler shapes, and find the sum of their areas.

For this triangle, we will need to know the formula to find the area of a triangle:

A=\dfrac{1}{2}bh

<h2>Solving the Question</h2>

The given shape can be seen as one large triangle with a little triangle cut out of it. To find the shaded region, we can:

  1. Find the area of the large triangle
  2. Find the area of the little triangle
  3. Subtract the area of the little triangle from the large triangle

<h3>Area of the Large Triangle</h3>

A=\dfrac{1}{2}bh

⇒ Plug in the values given for the base and height:

A=\dfrac{1}{2}(5)(2+4+6)\\\\A=\dfrac{1}{2}(5)(12)\\\\A=(5)(6)\\\\A=30 mm^2

<h3>Area of the Small Triangle</h3>

A=\dfrac{1}{2}bh

⇒ Plug in the values given for the base and height:

A=\dfrac{1}{2}(3)(4)\\\\A=(3)(2)\\\\A=6mm^2

<h3>Subtract the Area of the Small Triangle from the Area of the Large Triangle</h3>

30 mm^2-6mm^2\\=24mm^2

<h2>Answer</h2>

The area of the shaded region is 24mm^2.

5 0
2 years ago
Jordan has saved $15. He doubles the amount he saves each week. Does this represent an exponential function? Why?
Andrej [43]

Answer:

it does not

this is because his income increases at a constant rate. At any given week, his income increases by double

Step-by-step explanation:

An exponential function is usually in the form : a^{x}

where a =  positive constant other than 1

x = variable component

for example ,

Assume that Jordan saves $15. he increases this amount by 10% weekly. this statement represents an exponential function.

The amount he would have in 7 weeks = 15 x (1.1)^7 = 29.23

8 0
2 years ago
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