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2 years ago

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A diver was 5.5 feet below sea level. The diver descended an additional 1.5 feet. What is the location of the diver compared to

sea level?

2 answers:

MakcuM [25]2 years ago

4 0

Absolute value of 7 feet below sea level

Svetach [21]2 years ago

3 0

Simply add 5.5 feet to 1.5 feet. The answer is 7 feet below sea level.

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Choose the correct simplification of the expression (4a4b)2. 16a8b 16a8b2 16a6b2 8a8b2

iogann1982 [59]

Given exponential expression : $(4a^4b)^2$ .

<em>According to exponents of exponent rule, we need to distribute whole exponent over exponents of inside terms of parenthesis.</em>

We are given whole exponent 2 there.

We can apply exponents of exponent rule.

Therefore,

$(4a^4b)^2 = 4^2 a^{4\times2}b^2$

$4^2= 16.$

$a^{4\times2} = a^8$

Therefore, $4^2 a^{4\times2}b^2 = 16a^8b^2.$

<h3>Correct option is second option $16a^8b^2.$ </h3>

5 0

3 years ago

Read 2 more answers

Which of these groups of relative frequencies would be best represented by a pie chart?

SVETLANKA909090 [29]

All of these would be perfectly fine represented by a pie chart except A, which doesn't add to 100%.

The question seems to be getting at the idea that a pie chart might be better when the slices are all visually different sizes. I don't really think that's right; a pie chart for D say, where the two slices are about the same, gives the correct impression of the relative frequencies, which are about the same.

Answer they're looking for: C

7 0

2 years ago

Determine the volume and the total surface area of the square pyramid.if its perpendicular height is 12cm and square length is 5

Vika [28.1K]

Answer:

Volume = 100 cm³

Surface area of the square pyramid = 145 cm²

Step-by-step explanation:

Given:

Perpendicular height = 12cm

Square length = 5cm

Find:

Volume

Surface area of the square pyramid

Computation:

Area of base = side²

Area of base = 5²

Area of base = 25 cm²

Volume = (1/3)(A)(h)

Volume = (1/3)(25)(12)

Volume = 100 cm³

Surface area of the square pyramid = A + 1/2(P)(h)

Perimeter square pyramid = 4(s)

Perimeter square pyramid = 4(5)

Perimeter square pyramid = 20 cm

Surface area of the square pyramid = 25 + 1/2(20)(12)

Surface area of the square pyramid = 145 cm²

3 0

2 years ago

Ian has the option of purchasing or renting a home. The purchase option requires a loan of $100,000 for a 20-year term at a 4.9%

jenyasd209 [6]

Answer:

The correct answer to the following question will be "70.56".

Step-by-step explanation:

The given values are:

Loan requires, PV = $100,000

Years = 20

Number of months, n = 240

Rate interest = 4.90000%

Monthly rate, r = 0.408333%

Monthly rental payment = $725

As we know,

$PV=PMT\times (\frac{1}{r})\times [1-[\frac{1}{(1+r)^n}]]$

On putting the values in the above formula, we get

⇒ $100000=PMT\times (\frac{1}{0.004083333})\times [1-(\frac{1}{(1+0.004083333^{240})})]$

⇒ $100000=PMT\times 152.8014557$

⇒ $PMT=\frac{100000}{152.8014557}$

⇒ $PMT=654.44$

Now,

$Saving \ Per \ Month =Rent \ per \ month-PMT$

On putting the values, we get

⇒ $=725-654.44$

⇒ $=70.56$

3 0

2 years ago

Let f (x) = 1/x<br> and g(x) = x² – 3x. What<br> two numbers are not in the domain of fºg?

iren [92.7K]

For this case we have the following equations:

$f (x) = \frac {1} {x}\\g (x) = x ^ 2-3x$

We must find $(f_ {o} g) (x):$

By definition of composition of functions we have to:

$(f_ {o} g) (x) = f (g (x))$

So:

$(f_ {o} g) (x) = \frac {1} {x ^ 2-3x}$

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

$x ^ 2-3x = 0\\x (x-3) = 0$

So, the roots are:

$x_ {1} = 0\\x_ {2} = 3$

The domain is given by all real numbers except 0 and 3.

Answer:

x other than 0 and 3

8 0

3 years ago

Read 2 more answers