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True [87]
2 years ago
7

A submarine submerged at a depth of -32.25 meters dives an additional 8.5 meters. What is he new depth of the submarine?

Mathematics
2 answers:
kvasek [131]2 years ago
3 0
-40.75 meters is the answer
777dan777 [17]2 years ago
3 0

Answer:

New depth = -40.75 meters

Step-by-step explanation:

It should be understood that submersion is a physical process in which height is lost, so that as there is more submersion there is less height, that is, height and submersion are inversely proportional.

When talking about a submersion depth of -32.25 meters, that means the submarine has dropped 32.25 meters.

If we add 8.5 meters of additional submersion to that value, we get ....

-32.25 meters + (-8.5 meters) = -32.25 meters - 8.5 meters = -40.75 meters.

In other words, we have ...

Initial Depth = -32.25 meters

Additional depth = -8.5 meters

New depth = -40.75 meters

-------------------------------------------------- ----------------------------

I hope this helps!

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Step-by-step explanation:

Given data:

Tran has a credit card with a spending limit of $2000 and an APR (annual percentage rate) of 12%.

During the first month, Tran charged $450 and paid $150 of that in his billing cycle.

The expression which will find the amount of interest Tran will be charged after the first month is (0.012)(300)

Here 0.01 because it is 1 month tax.

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5 0
2 years ago
Laurel is a huge fan of hats, she likes all kinds of hats and recently started collecting them. She already owns 3 hats. She pla
horsena [70]

Answer:

y=3+x

Step-by-step explanation:

If you are ever unsure about how to proceed with a math problem, one thing I find very helpful is to imagine the scenario and sub in the numbers. That's always helped me

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After the first month, when x=1, laurel owns 3 hats, plus the 1 hat she just bought. She now owns y=3+1  hats.

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2 years ago
A 2-column table with 6 rows. The first column is labeled miles driven with entries 27, 65, 83, 109, 142, 175. The second column
Helen [10]

Answer:

1) The linear regression model is y = -0.0348·x + 13.989

2) The correlation coefficient is -0.0725

3) The strength of the model is strong - association

Step-by-step explanation:

1)

                         X            Y          XY       X²

                         27            13           351          729

                         65             12          780         4225

                         83              11          913         6889

                         109            10          1090      11881

                         142            9            1278     20164

                         175              8           1400      30625

                ∑      601              63 5812 74513

From y = ax + b, we have

a = \frac{n\sum xy - \sum x\sum y }{n\sum x^{2}-\left (\sum x  \right )^{2}} = \frac{6 \times 5812  - 601 \times 63}{6 \times 74513-601^{2}} = - 0.0348

b = 1/n(∑y -a∑x) = 1/6(63 - (0.0348)×601) = 13.989

Therefore, the linear regression model is y = -0.0348·x + 13.989

2)

r = \frac{n\sum xy - \sum x\sum y }{\sqrt{[n\sum x^{2}-\left (\sum x  \right )^{2}] [n\sum y^{2}-\left (\sum y  \right )^{2}]}}  = \frac{6 \times 5812  - 601 \times 63}{\sqrt{[6 \times 74513-601^{2}] [6  \times 3969 - 63^2]} } = - 0.0725

3) The strength is - association.

5 0
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2 years ago
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MatroZZZ [7]

Answer:

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2 years ago
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