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3 years ago

Divide 24 into 2,638

Mathematics

2 answers:

Gnoma [55]3 years ago

6 0

109.91 is the answer

viva [34]3 years ago

4 0

2648/24=110 3/8

Answer: 110 3/8 or 110.375

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Write the integral and solve for the area under the curve:

ArbitrLikvidat [17]

Answer:

Integral: $\int\limits^\pi _0 {3sinx} \, dx$

Area: 6

Step-by-step explanation:

$\int\limits^\pi _0 {3sinx} \, dx = -3[cosx]_{0} ^{\pi} = 6$

4 0

2 years ago

What are the roots of the equation 16x² + 16x + 5 = 0 in simplest a + bi form?

Greeley [361]

Answer:

Below in bold.

Step-by-step explanation:

Using the quadratic formula :

roots = [-16 +/-√(16^2 - 4*16*5)] / (2*16)

= -0.5 +/- √(-64) /32

= -0.5 +/- 8i/32

= -0.5 + 0.25i and -0.5 - 0.25i

4 0

3 years ago

Katrina is outlining an outdoor cooking area in her yard. The figure on the coordinate plane below represents the area she outli

densk [106]

The distance around the cooking area would be 20 yds

6 0

3 years ago

A biologist recorded a count of 337 bacteria present in a culture after 5 minutes and 699 bacteria present after 15 minutes.

hoa [83]

The initial population was 234.

Explanation

Formula for the exponential growth is: $A= P*e^r^t$ , where P is the initial amount, A is the final amount, r is the rate of growth and t is the time duration.

There was 337 bacteria after 5 minutes and 699 bacteria after 15 minutes. So, the equations will be......

$337=P*e^5^r .................................. (1)\\ \\ 699=P*e^1^5^r ................................. (2)$

Now dividing equation (2) by equation (1) , we will get .......

$\frac{699}{337}=\frac{e^1^5^r}{e^5^r} \\ \\ e^1^0^r = \frac{699}{337}$

Taking 'natural log' on both sides.........

$ln (e^1^0^r) = ln (\frac{699}{337})\\ \\ 10r= 0.7295....\\ \\ r= 0.07295.... \approx 0.073$

Now, plugging this $r=0.073$ into equation (1), we will get......

$337= P*e^5^(^0^.^0^7^3^)\\ \\ 337= P*1.4405 \\ \\ P= 233.946 \approx 234$

So, the initial population was 234.

7 0

3 years ago

At a school

Liula [17]

Answer:

197 students (rounded to the nearest whole number)

Step-by-step explanation:

first I divided 11 by 114 to find out how much girls there are to every one boy and my answer was 10.36 (rounded to the nearest 2 d.p).

next I times it by eight according to the ratio given, my answer was 83 (rounded to the nearest whole number)

finally, I just added 114 and 83 together to get the total number of students and my answer to that was 197 (rounded to the nearest whole number)

hope it helped

8 0

3 years ago