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forsale [732]
3 years ago
11

How is the product of 3 and 2 shown on a number line?

Mathematics
1 answer:
erastova [34]3 years ago
4 0

Answer:

A number line going from negative 7 to positive 7. An arrow goes from 0 to 3 and from 3 to 6.

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The volume of most drink containers in the United States is measured in fluid ounces. There
attashe74 [19]

Answer:

68 ounces

Step-by-step explanation:

Most drink containers in the United States are usually known as 2 Litres bottle.

Now, let's convert this 2 litres to cubic centimeters.

1 litre is equal to 1000 cm³

So, 2 Litres = 2000 cm³

Since there are 29.6 cm³ per fluid ounce, thus amount of ounces held by the typical cup in america = 2000/29.6 = 67.57 ounces ≈ 68 ounces

3 0
3 years ago
In parallelogram abcd, ab=14, bc=20, m(angle)b=54. Find to the nearest tenth the length of diagonal bd, and find measure angle d
muminat
It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20

Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit

Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76° 
3 0
3 years ago
Two cylinders are shown below. Which cylinder has the greater volume? Use 3.14 for π. Round to the nearest hundredth. Use the dr
Lemur [1.5K]

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

To find which cylinder has the greater volume, we need to find out the volume of each one.

As we all know that the formula used to determine the volume of a cylinder is:

V = The base area*the height

<=> V = πr^{2}h (cubic units)

For example, in my attached photo, we will use this formula to find the volume of each one.

  • 1. Cylinder A:

The base area = πr^{2} = π3.5^{2} = 38.46 square in

The height = 8.5 in

=> the volume of Cylinder A

= The base area*the height

= 38.46*8.5

= 326.91 cubic in

  • 2. Cylinder B:

The base area = πr^{2} = π2.7^{2} = 22.89 square in

The height = 11 in

=> the volume of Cylinder A

= The base area*the height

= 22.89*11

= 251.79  cubic in

Hence, Cylinder B has the greater volume

6 0
3 years ago
Plz help me!!!
Nadya [2.5K]
To solve this we are going to use the exponential function: f(t)=a(1(+/-)b)^t
where
f(t) is the final amount after t years
a is the initial amount
b is the decay  or grow rate rate in decimal form
t is the time in years

Expression A 
f(t)=624(0.95)^{4t}
Since the base (0.95) is less than one, we have a decay rate here.
Now to find the rate b, we are going to use the formula: b=|1-base|*100%
b=|1-0.95|*100%
b=0.05*100%
b=5%
We can conclude that expression A decays at a rate of 5% every three months.

Now, to find the initial value of the function, we are going to evaluate the function at t=0
f(t)=624(0.95)^{4t}
f(0)=624(0.95)^{0t}
f(0)=624(0.95)^{0}
f(0)=624(1)
f(0)=624
We can conclude that the initial value of expression A is 624.

Expression B
f(t)=725(1.12)^{3t}
Since the base (1.12) is greater than 1, we have a growth rate here.
To find the rate, we are going to use the same equation as before:
b=|1-base|*100%
b=|1-1.12|*100
b=|-0.12|*100%
b=0.12*100%
b=12%
We can conclude that expression B grows at a rate of 12% every 4 months.

Just like before, to find the initial value of the expression, we are going to evaluate it at t=0
f(t)=725(1.12)^{3t}
f(0)=725(1.12)^{0t}
f(0)=725(1.12)^{0}
f(0)=725(1)
f(0)=725
The initial value of expression B is 725.

We can conclude that you should select the statements:
- Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every fourth months. 

- Expression A has an initial value of 624, while expression B has an initial value of 725.

8 0
3 years ago
Solve 3/4x+5=-9 please
Veseljchak [2.6K]

Answer:

exact form: x=-56/3

mixed number form: -18 2/3

Solve for x by simplifying both sides of the equation, then isolating the variable.

5 0
3 years ago
Read 2 more answers
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