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polet [3.4K]
2 years ago
5

I need help with this problem

Mathematics
1 answer:
Irina-Kira [14]2 years ago
6 0

Answer:

3695.5 m

1530.73 m

Step-by-step explanation:

Given in the question,

The distance probe travels at an angle of depression 67.4 from the ship to the ocean surface = 4000m

We will use trigonometry identities

<h3>sinФ = opposite / hypotenuse</h3><h3>cosФ =  adjacent/ hypotenuse</h3>

1)

distance of probe from top of sea to surface = x

cos(90 - 67.5) = x / 4000

x = 3695.5 m

2)

horizontal distance from ship to probe  = y

sin(90-67.5) = y / 4000

y = 1530.73 m

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A company wants to compare two washing detergents (Brands A and B) to see which best keeps colors from fading. Twenty new, ident
gogolik [260]

Answer:

No, because water temperature is confounded with brand of detergent.

Step-by-step explanation:

There is a very possible chance of allowing a third or confounding variable to have creepwd into the research. The aim was to investigate which of two detergents prevents color from fading. Hence, the test for both detergents should be carried out under the same research condition. However, with adoption of different water temperature for each of detergent A and B, there may be a relationship between fading and water temperature which is not what are trying to investigate. This difference in temperature will thus cause a spurious relationship in our research. Hence, water temperature has been confounded with detergent brand, making this experimental design a bad one.

4 0
2 years ago
URGENT! find the sum. the answer is not D​
otez555 [7]
<h3>Answer:  C)  -1/2</h3>

=============================================

Explanation:

We'll apply the derivative to get

g(x) = 4x^3 + 3x^2

g ' (x) = 3*4x^2 + 2*3x

g ' (x) = 12x^2 + 6x

Set that equal to 0 and solve for x. We do this to find where the horizontal tangents are located.

g ' (x) = 0

12x^2 + 6x = 0

6x(2x + 1) = 0

6x = 0 or 2x+1 = 0

x = 0 or x = -1/2

Adding those two said solutions yields us the final answer choice C

7 0
2 years ago
A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his exper
steposvetlana [31]

The population of the bacteria after 8 hours is 1639 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 500 bacteria, hence

a = 500

The bacteria grow at a rate of 16% per hour, hence:

b = 100% + 16% = 1.16

The exponential equation becomes:

y = 500(1.16)ˣ

After 8 hours:

y = 500(1.16)⁸ = 1639

The population of the bacteria after 8 hours is 1639 bacteria.

Find out more at: brainly.com/question/12490064

3 0
2 years ago
What is the area of the shaded region below?<br> 7 m<br> 30 m<br> 7 m<br> 21 m
Rama09 [41]

Answer:

322.28

A

Step-by-step explanation:

Area of the rectangle

L = 30

W = 21

Area = 30 * 21

Area = 630

Area of the circles

Radius = 7 m

Area = pi r^2

Area = 3.14 * 7^2

Area = 153.86 m^2

Area of both circles = 307.72

Area of the Shaded Region

Area of shaded region = area of the rectangle - area of 2 circles.

Area of Shaded Region = 630 - 307.72

Area of Shaded Region = 322.28

5 0
2 years ago
What is the slope that passes through the points (-5,0) and (-3,1)
tangare [24]

Answer:

1/2

Step-by-step explanation:

When given two points, we can find the slope by

m = (y2-y1)/(x2-x1)

    = (1-0)/(-3- -5)

     = (1-0) / (-3+5)

      = 1/2

7 0
3 years ago
Read 2 more answers
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