Ask question

Ask question

All categories

4 years ago

6

The Click-O Pen Company produced 1.8x10^6 pencils each year for 4 years. What was the total number of pencils the Click-O Pen Co

mpany produce during those 4 years?

1 answer:

Nataliya [291]4 years ago

8 0

Answer: The pencils produced by Click-O-Pen Company for 4 years = $7.2\times 10^6$

Step-by-step explanation:

Given :

Pencils produced by Click-O-Pen Company each year = $1.8\times 10^6$

Using unitary method:

Pencils produced by Click-O-Pen Company for 4 years = $\frac{1.8\times 10^6}{1}\times 4=7.2\times 10^6$

Thus Pencils produced by Click-O-Pen Company for 4 years = $7.2\times 10^6$

You might be interested in

Please solve i will give brainiest 100 point question ****** do the whole page please need to pass or i will fail its my final t

dmitriy555 [2]

Answer:

1. Find the difference between the areas.

<u>Area of the small rectangle</u>: $(x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14$

<u>Area of the big rectangle</u>: $(x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99$

The difference is: $11x+85$

$( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85$

2.

You can solve this question just by looking at the graph.

a) The height is 4 meters.

$f(d)=h=-2d^2+7d+4$

To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

$f(0)=h=-2(0)^2+7(0)+4$

$h=4$

The height is 4 meters.

b) 9 meters.

For $d=1$

$f(1)=h=-2(1)^2+7(1)+4$

$f(1)=h=-2+7+4$

$h=9$

b) The ball travels 4 meters.

But to calculate it, it is when $h=0$

$0=-2d^2+7d+4$

Using the quadratic formula:

$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$

$d=\frac{-7\pm\sqrt{81}}{-4}$

$d=\frac{-7\pm9}{-4}$

It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

$d=-\frac{1}{2} \text{ or }d=4$

3.

In this question, we have to find the area of the cylinder and the sphere.

From the information given, we have

a = 5mm and d = 5mm, therefore the radius is 2.5 mm.

The volume of a cylinder:

$V=\pi r^2h$

$V=\pi (2.5)^2 \cdot 5$

$V=31.25 \pi$

$V_{c} \approx 98.17 \text{ m}^3$

The volume of the sphere:

$V=\frac{4}{3} \pi r^2$

$V_{s} \approx 65.4 \text{ m}^3$

The volume of the capsule is approximately $163.57 \text{ m}^3$

3 0

4 years ago

Express as a single power of 2

den301095 [7]

When you multiply powers, they add, and when you divide them they subtract.
So I would first add the 2^a + 2^b +2^c to get 2^(a+b+c)
Then, divide by 2^(a+b). Because when you divide powers they subtract, you will be taking away the (a+b) from the (a+b+c) and you will be left with c on its own.
The answer is 2^c

6 0

4 years ago

Can somebody please help me with my math I need help ASAP

zzz [600]

Can you make it bigger?

4 0

4 years ago

Jason gets very nervous giving speeches in front of big crowds how can he combat his nervousness

gregori [183]

Answer: Jason can imagine everyone naked while on the stage, it will make him smile, and feel free.

Step-by-step explanation: I'ts pretty easy actually.

3 0

3 years ago

Please please help. I have a bunch of these and I don’t understand it at all

shtirl [24]

The correct option is: Option (B) $\sum_{i=1}^{7} (5i-2)$

Explanation:

First thing is that the difference between each number in the series with the next number is 5. It means it must be the multiple of 5. There are two options that contain multiples of 5: Option B and Option D. Now in the option D, the upper limit is 6. If we put 6 in the expression: 5(6)-2, the last term would be 28. However in the series given in the question, the last term is 33. Hence 5(7) - 2 = 35 - 2 = 33 which is Option B.

When i=1: 5(1)-2 = 3
When i=2: 5(2)-2 = 8
When i=3: 5(3)-2 = 13
.
.
When i=7: 5(7)-2 = 35-2 = 33
Hence the correct option is (B).

3 0

3 years ago