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7nadin3 [17]
2 years ago
15

Help please? giving brainliest!

Mathematics
1 answer:
Lena [83]2 years ago
7 0

Answer:

4.708 feet    

Step-by-step explanation:

Given that: The sector area A=28.25 ft2

The radius r = 12 feet

....attached work below

Now the length of steel (Arc length ) = 2πr/2π × θ

The length of steel (Arc length ) = r × θ

The length of steel (Arc length ) = 12 × 0.39236

The length of steel (Arc length ) = 4.708 feet    

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A bacteria culture initially contains 2000 bacteria and doubles every half hour.
dsp73

<em>Answer:</em>

<em>Can be found below</em>

<em>Step-by-step explanation:</em>

<em>Part A:</em>

<em>So we know that the bacteria doubles every (30) minutes.</em>

<em>2000 times 2 equals 4000 (30 minutes)</em>

<em>4000 times 2 equals 8000 (1 hour)</em>

<em>Answer for Part A:</em>

<em>8000 bacteria</em>

<em>Part B:</em>

<em>Now we do this function 2000(2)^14 (30 minutes long)</em>

<em>Answer to Part B: </em>

<em>I believe the answer is 32,768,000 (Please correct me if I'm wrong) </em>

<em>Hope I could help!! Have a great day/night!</em>

<em>Any constructional messages are greatly appreciated!!</em>

5 0
3 years ago
Solve for x using the Quadratic Formula: x2 + 4x + 4 = 0<br> -b + Vb2 - 4ac<br> x=<br> 2a
Irina18 [472]

Answer:

x = -2.

Step-by-step explanation:

In this case, a is 1, b is 4 and c is 4.

-4 plus or minus the square root of 4^2 - 4 * 1 * 4 divided by 2 * 1 = -4 plus or minus the square root of 16 - 16 / 2 = -4 plus or minus the square root of 0 / 2 = -4 / 2 = -2.

x = -2.

Hope this helps!

8 0
3 years ago
Please help
oksian1 [2.3K]

Answer:

1: 11√3 - 7√6

2: 11√3 - 7√6

3: -9

4:12

Step-by-step explanation:

To add radicals they need to have the same radical part for the first one we have

7√3- 4√6 + √48 - √54

We can simplify the last two into 4√3 and 3√6

So we have 7√3 - 4√6 + 4√3 - 3√6

adding similar radicals we get

11√3 - 7√6

For the second one we have 11√3 - 7√6

There's nothing we can do from here so keep that as your answer

This one is quite easy -3√9

square root of 9 is 3

so we have -3*3 which is -9

next is

4√9

same deal as the one before

3*4=12

5 0
2 years ago
Read 2 more answers
Find an explicit solution of the given initial-value problem. (1 + x4) dy + x(1 + 4y2) dx = 0, y(1) = 0
MissTica

Answer:

a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

Step-by-step explanation:

for the equation

(1 + x⁴) dy + x*(1 + 4y²) dx = 0

(1 + x⁴) dy  = - x*(1 + 4y²) dx

[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx

∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx

now to solve each integral

I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁

I₂=  ∫[-x/(1 + x⁴)] dx

for u= x² → du=x*dx

I₂=  ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ =  - tan⁻¹ (x²) +C₂

then

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C

for y(x=1) = 0

1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C

since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for  π*N , we will choose for simplicity N=0 . hen an explicit solution would be

1/2 * 0 = - π/4 + C

C= π/4

therefore

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

5 0
3 years ago
If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year? $
Fynjy0 [20]

Answer:

336

Step-by-step explanation:

The first year added $18 so just double the lat 2 digits

8 0
2 years ago
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