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guapka [62]
3 years ago
13

A positive angle less than 360 that is coterminal with -725 degrees is

Mathematics
1 answer:
pogonyaev3 years ago
4 0
The angles number would be 230
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The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of
Nesterboy [21]

Answer:

P=400000(2^t)-40000t

Step-by-step explanation:

The initial number of mosquitoes is 400000, and they double each day. This represents an exponential growth equation. If t represent days and P represent the population of the mosquitoes, hence this can be represented by the equation:

P=400000(2^t)

Also, the predators eat the mosquitoes at a rate of 40,000 mosquitoes/day. This means that each day, the mosquitoes reduce by 40000t, therefore this can be represented by:

P=400000(2^t)-40000t

8 0
3 years ago
A cylinder has a radius of 7 inches and a height of 13 in. What is the volume<br> of the cylinder?
madreJ [45]

Answer:

2,637.18 in^{3}

Step-by-step explanation:

The formula for finding the volume of a cylinder is....

V = π r^{2}h

π = 3.14

Radius = 7

Height = 13

Now that we have what we need, we can substitute the numbers into the equations to get our volume

V = π r^{2}h

V = 3.14 * 7^{2} * 13

V = 3.14 * 49 * 13

V = 202.86 * 13

V = 2,637.18

The volume of the cylinder is 2,637.18 in^{3}

Hope this helped!

have a supercalifragilisitcexpialidocious day!

5 0
2 years ago
A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medica
expeople1 [14]

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

M = \frac{1850 + 2000}{2} = 1925

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.898

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

Since M = 75, T = 2.898, n = 18

M = T\frac{s}{\sqrt{n}}

75 = 2.898\frac{s}{\sqrt{18}}

s = \frac{75\sqrt{18}}{2.898}

s = 109.7992

The sample standard deviation is of 109.7992 calories.

6 0
2 years ago
!!ASAP!!<br> 1.<br> 25<br> 40<br> 75<br> 2. <br> 40<br> 75<br> 140
Alexeev081 [22]

Answer:

C= 40

D= 75

Alternate interior angle

○●○●○●○●○

Hope it helps...

Have a great day!!!

6 0
3 years ago
Prove the polynomial identity
Nataliya [291]

Answer:

The steps have been shown in the solution below

Step-by-step explanation:

(3x+1)^{2} - 2(3x+1)=(3x+1)(3x-1)

9x^{2} +6x+1 -6x-2= (3x+1) (3x-1)\\\\9x^{2} -1=(3x+1)(3x-1)\\\\(3x+1)(3x-1)=(3x+1)(3x-1)\\

LHS=RHS Hence, proved.

4 0
3 years ago
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