A marine biologist dove 40ft below sea level to study the
coral and her drone is flying 20ft above sea level. What is
the distance between the marine biologist and the drone?

Answer:

(x-3^2+y+2^2 =25

Step-by-step explanation:

Answer:

hmm,,,,,,

Step-by-step explanation:

Answer:

Hello! I know I am late but here is the answer for anyone else who might need it.

D. 1/2-i√3/2

Step-by-step explanation:

I got it right on edge. Hope this helps!

The value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].

What is binomial theorem?

The expression of the form (a+b)^n is expand by binomial theorem.

The expansion is [tex](a+b)^{n}=\sum_{r=0}^{n}{ }^{n} C_{r} a^{n-r} b^{r}[/tex].

Use a=1/2 and b=[tex]b=\frac{i\sqrt{3} }{2}[/tex] into the expansion of binomial.

[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\sum_{k=0}^{5}\left(\begin{array}{l}5 \\k\end{array}\right)\left(\frac{1}{2}\right)^{5-k}\left(\frac{\sqrt{3} i}{2}\right)^{k}[/tex]

When k=0 then, [tex]\left(\begin{array}{l}5 \\0\end{array}\right)\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{5 !}{(5-0) ! 0 !}\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{1}{32}[/tex]

When k=1 then, [tex]\left(\begin{array}{l}5 \\1\end{array}\right)\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 !}{(5-1) ! 1 !}\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 \sqrt{3} i}{32}[/tex]

When k=2 then, [tex]\left(\begin{array}{l}5 \\2\end{array}\right)\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=\frac{5 !}{(5-2) ! 2 !}\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=-\frac{15}{16}[/tex]

When k=3 then, [tex]\left(\begin{array}{l}5 \\3\end{array}\right)\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=\frac{5 !}{(5-3) ! 3 !}\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=-\frac{15 \sqrt{3} i}{16}[/tex]

When k=4 then, [tex]\left(\begin{array}{l}5 \\4\end{array}\right)\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{5 !}{(5-4) ! 4 !}\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{45}{32}[/tex]

When k=5 then, [tex]\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{5 !}{(5-5) ! 5 !}\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{9 \sqrt{3} i}{32}[/tex],

Now we will add all the results to get the expansion of given expression,

[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{32}+\frac{5 \sqrt{3} i}{32}-\frac{15}{16}-\frac{15 \sqrt{3} i}{16}+\frac{45}{32}+\frac{9 \sqrt{3} i}{32}[/tex]

On simplifying,

[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex]

Therefore, the value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].

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Answer:

[tex]\huge\boxed{x=-15}[/tex]

Step-by-step explanation:

[tex]-18=-3+x\qquad|\text{add 3 to both sides}\\\\-18+3=-3+3+x\\\\-15=x\to x=-15[/tex]

Answer:

A

Step-by-step explanation:

In A, the number of bags that had more than 19 skittles is 7 and the number of bags that had less than 19 skittles is 16, so A is true.

In B, the median package contained 18 candies.

In C, 5 bags contained 18 candies, while there were 8 bags in total for the 17 and 20 bags.

In D, the range is the highest value minus the lowest, so it's 22-12=10.

Answer:

600

Step-by-step explanation:

The length of the actual car is 600.

Scale factor is that it is a number that multiplies times a given quantity to produce a smaller or larger version of the original number. The ratio of any two corresponding lengths in two similar geometric figures.

For the given situation,

The scale factor of a model car = 2

The length of the model car = 300

The length of the actual car = [tex]300(2)[/tex]

⇒ [tex]600[/tex]

Hence we can conclude that the length of the actual car is 600.

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Answer:

this triangle is "obtuse

Step-by-step explanation:

Since sides 14 and 16 add up to 30, which is more than the third side, 27, we DO have a triangle here.  The sides of lengths 14 and 16 form an angle greater than 90 degrees, and so this triangle is "obtuse."  It's not a right triangle either, because the Pythagorean Theorem is not satisfied:  14^2 + 16^2 = 452, which is NOT 27^2.

Answer:

65.12 mm

Step-by-step explanation:

Circumference of semicircle = 8π mm

Perimeter = (40 + 8π) = 65.12 mm

Answer: XD that was great

Answer:

6 crickets

Step-by-step explanation:

First day:  20% of 10 is (.20)(10) = 2, so there were 10 - 2 = 8 crickets left.

Second day: 25% of 8 is (.25)(8) = 2, so there were 8 - 2 = 6 crickets left.

Answer:

Rhombus

Step-by-step explanation:

Answer:

The answer is a rhombus

Hope this helps!

Mark me brainliest?? :)

Answer: $285

Step-by-step explanation:

Given

A trip costs [tex]\$319.19[/tex] after-tax inclusion

The rate of tax is 12%

Suppose x is the amount of charge before tax inclusion

We can write

[tex]\Rightarrow x+12\%x=319.19\\\Rightarrow x(1+0.12)=319.19\\\\\Rightarrow x=\dfrac{319.19}{1.12}\\\\\Rightarrow x=\$284.99\approx \$285[/tex]

The amount before tax inclusion is $285

Answer: 15

Hope this helps!

Answer:

[tex]y = \sqrt{ {14}^{2} - {10}^{2} } \\ y = \sqrt{96} \\ y = 9.8[/tex]

Answer:

Step-by-step explanation:

using pythagoras theorem

h^2=p^2+b^2

14^2=10^2+b^2

196=100+b^2

196-100=b^2

96=b^2

[tex]\sqrt{96}[/tex] =b

4[tex]\sqrt{6}[/tex] =y

Answer:

Vajsjke

Step-by-step explanation:

ggzodxkdfdjhs

Answer:

hi how are you doing today Jasmine

Heres some info i learend

s but its not complete maybe i guess

Terms. We combine em by adding. The numbers or subtracting the numbers that are multiplied times the radicals.

Answer: all you have to do is times length times width

which is 1 1/2x4 1/2 and then make it a decimal

Answer:

3.125 miles

Step-by-step explanation:

5 × 0.625 = 3.125 miles

Answer:

15.87%

Step-by-step explanation:

We start with getting the z score

Mathematically , we have this as;

z-score = (x-mean)/SD

where x = 114

z-score = (114-100)/14 = 14/14 = 1

So we want to calculate the probability values that are greater than 1

We can use the standard normal distribution table

so we have P(z> 1) = 0.15866

in percentage, we multiply by 100 and that gives 15.866 which is 15.87 people

Answer:

not sure no attachments but i think its 49 or 37 or both together 88

Step-by-step explanation:

Answer: i cant see the picture can you send it to me please

Step-by-step explanation:

Answer:

Substraction

Step-by-step explanation:

Given that  

The amount paid in the year 2018 is $3,200

And, in the year 2019 the amount paid is $3,516'

We need to find the differnece between two years so how we can find

Basically we need to subtract the amount i.e.

= $3,516 - $3,200

= $316

hence, the difference is of $316 from 2018 to 2019

Answer:

the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Step-by-step explanation:

Answer:

0.0425

Step-by-step explanation:

Answer:

0.0425

Step-by-step explanation: