Pick the correct scientific notation of the number: 293,000,000.

A company paid $48 for 2 cases of printer paper. Each case contained 12 packages of paper. Next month the company’s office manag

il63 [147K]

Since 2 cases = $48

÷ 48 by 2 to get the cost of one case of paper

48÷2=$24 per case
and each case has 12 pack of paper

so $24 for 12 packs of paper

180÷12=15, which gives you the number of case you need

15 cases × $24= $360 for 180 packs

7 0

3 years ago

2³ x 6 ÷ 12 = 4 + (5² - 2³) =

Leno4ka [110]

Answer:

The first one is 4

The second on is 21

4 0

3 years ago

Read 2 more answers

What is 5 m in mm I would like to know please?

Mariana [72]

1 meter = 1000 mm

so then 5 meters is just 5 * 1000 = 5000 mm.

6 0

3 years ago

A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2

Artemon [7]

Answer:

a) The height decreases at a rate of $\frac{7}{12}$ ft/sec.

b) The area increases at a rate of $\frac{527}{24}$ ft^2/sec

c) The angle is increasing at a rate of $\frac{1}{12}$ rad/sec

Step-by-step explanation:

Attached you will find a sketch of the situation. The ladder forms a triangle of base b and height h with the house. The key to any type of problem is to identify the formula we want to differentiate, by having in mind the rules of differentiation.

a) Using pythagorean theorem, we have that $25^2 = h^2+b^2$ . From here, we have that

$h^2 = 25^2-b^2$

if we differentiate with respecto to t (t is time), by implicit differentiation we get

$2h \frac{dh}{dt} = -2b\frac{db}{dt}$

Then,

$\frac{dh}{dt} = -\frac{b}{h}\frac{db}{dt}$ .

We are told that the base is increasing at a rate of 2 ft/s (that is the value of db/dt). Using the pythagorean theorem, when b = 7, then h = 24. So,

$\frac{dh}{dt} = -\frac{2\cdot 7}{24}= \frac{-7}{12}$

b) The area of the triangle is given by

$A = \frac{1}{2}bh$

By differentiating with respect to t, using the product formula we get

$\frac{dA}{dt} = \frac{1}{2} (\frac{db}{dt}h+b\frac{dh}{dt})$

when b=7, we know that h=24 and dh/dt = -1/12. Then

$\frac{dA}{dt} = \frac{1}{2}(2\cdot 24- 7\frac{7}{12}) = \frac{527}{24}$

c) Based on the drawing, we have that

$\sin(\theta)= \frac{b}{25}$

If we differentiate with respect of t, and recalling that the derivative of sine is cosine, we get

$\cos(\theta)\frac{d\theta}{dt}=\frac{1}{25}\frac{db}{dt}$ or, by replacing the value of db/dt

$\frac{d\theta}{dt}=\frac{2}{25\cos(\theta)}$

when b = 7, we have that h = 24, then $\cos(\theta) = \frac{24}{25}$ , then

$\frac{d\theta}{dt} = \frac{2}{25\frac{24}{25}} = \frac{2}{24} = \frac{1}{12}$

7 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. A group of people were surveyed, and the data about their age and hem

SVEN [57.7K]

Answer: 0.25 = the probability that a person in the 25-35 age group has a hemoglobin level less than 9.

0.47 = the probability of a person older then 35 years has a hemoglobin level less than 9.

0.28 = the probability that a person is older than 35 has a hemoglobin level between 9 and 11.

0.50 = the probability that a person younger than 25 has a hemoglobin level above 11.

Step-by-step explanation:

I did this on plato. It was right!

#platolivesmatter

4 0

3 years ago