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3 years ago

What's the closest number to 27.8 * 9.8

Mathematics

2 answers:

nikitadnepr [17]3 years ago

6 0

280...round each number to the nearest whole number (27.8=28 and 9.8=10) then multiply and you will get 280

trapecia [35]3 years ago

3 0

27.8 * 9.8 = 272.44

Closest whole number = 272.

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What's 0.00045 in scientific notation

tino4ka555 [31]

0.00045 = 4.5 × 10^-4

8 0

3 years ago

Read 2 more answers

The initial size of the population is 300. After 1 day the population has grown to 800. Estimate the population after 6 days. (R

Cloud [144]

Solution :

Given initial population = 300

Final population after 1 day = 800

Number of days = 6

∴ $\frac{dP}{dt} =kt^{1/2}$

P(0) = 300 P(1) = 300

We need to find P(8).

$dP = kt^{1/2} dt$

$\int 1 dP = \int kt^{1/2} dt$

$P(t) = k \left(\frac{t^{3/2}}{3/2}\right)+c$

$P(t)= \frac{2k}{3}t^{3/2} + c$

When P(0) = 300

$300 = \frac{2k}{3} (0)^{3/2} + c$

∴ c = 300

∴ $P(t)= \frac{2k}{3}t^{3/2} + 300$

When P(1) = 800

$800 = \frac{2k}{3} (1)^{3/2} + 300$

$500 = \frac{2k}{3}$

∴ k = 750

$P(t)= 500t^{3/2} + 300$

So, P(8) is

$P(t)= 500(8)^{3/2} + 300$

= 11,614

So the population becomes 11,614 after 8 days.

8 0

3 years ago

Identify the domain and range of each relationship. Represent the relation with a mapping diagram. Is the relation a function?

Ivenika [448]

Remember, to be a function, all elements in the domain should correspond to one element in the range.
The domain is the x coordinate, range is the y coordinate.
The domain we can solve for as the set {4.2, 5, 7}. The range is the set {0, 1.5, 2.2, 4.8}.
But we see that an element in the domain corresponds to more than one element in the range, thus making it not a function.

4 0

4 years ago

15miles/1 hours = ?ft/1 hours

Nataly [62]

Answer:

79200ft/1 hour

Step-by-step explanation:

Formula

multiply the length value by 5280

8 0

3 years ago

How long was each sprinkler used? The water output rate for the Rodriguez family's sprinkler was 15L per hour. The water output

Lelechka [254]

Answer:

Rodriguez family's sprinkler used for 40 hours

Perry family's sprinkler used for 15 hours.

Step-by-step explanation:

Let "x" be the number of hours Rodriguez family's sprinkler used and "y" be the number of hours Perry family's sprinkler used.

Now let's form two equations using the given information.

x + y = 55 ------------(1)

Using the output, we can form another equation.

15x + 20y = 900 -----(2)

Now we have to solve these two equations to find the number of hours each sprinkler used.

We can use substitution method to solve these two equations.

From the equation (1), we can write

x = 55 - y

Now plug in x = 55 - y in the equation (2), we get

15(55 - y) + 20y = 900

Using the distributive property a(b -c) = ab - ac, we get

15(55) - 15y + 20 y = 900

825 - 15y + 20y = 900

Simplifying the above equation, we get

5y = 900 - 825

5y = 75

Dividing both sides by 5, we get

y = 15

Now plug y = 15 in x = 55 - y to find the value of x.

x = 55 - 15

x = 40

So, Rodriguez family's sprinkler used for 40 hours

Perry family's sprinkler used for 15 hours.

3 0

3 years ago