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Artist 52 [7]
2 years ago
12

The planetarium, which is not marked on the map, is halfway between the historic village and the science center. What are its co

ordinates?
Mathematics
1 answer:
lutik1710 [3]2 years ago
6 0
As I have seen this question before:

Coordinates of historic village: (-4 1/2 , 5 1/2)
Coordinates of science center: (-4 1/2 , -1 3/4)

To find the midpoint, we use:
((x₂ + x₁)/2) , (y₂ + y₁)/2) 
= ( (-4 1/2 + -4 1/2)/2 , (-1 3/4 + 5 1/2) / 2)
= ( -4 1/2 , 1 7/8)
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Use complete sentences to describe the domain of the cosine function.
Hatshy [7]
The domain of a function is the set of the possible input values of the function. For example: consider the function f(x) = cos x, the domain of the function is the set of possible values of x.

The cosine function takes x values from all real numbers.

Therefore, the domain of the cosine function is a real numbers.
6 0
2 years ago
Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?
Murljashka [212]
Remember
xyz=(x)(y)(z)
if x and y and z are all perfect cubes, xyz is also a perfect cube

remmeber
(x^n)^m=x^(mn)
so if it is perfect cube it can be factored into
(x^n)^3, such taht n is a whole number
basiclaly, see if the expoent is divisble by 3

all of them should be perfect cubes

215x^18y^3z^21

split them up to see which ones need changing

215=5*43, not  a perfect cube
could be changed to 6^3, which is 216

x^18=(x^6)^3

y^3=y^3
z^21=(z^7)^3

the 215 needs to be changed
 
8 0
2 years ago
Read 2 more answers
You’re working in the sedan section of dean’s car dealership. A customer makes a down payment of 15% on a new car that costs $13
Shkiper50 [21]

Answer:

Convert  15 %  to a decimal.  

Then multiply 0.15  x 13450. That means the answer is $2,017.50

Please mark brainliest if this helped.

3 0
2 years ago
Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000,
Damm [24]

Answer:

Susan's take-home pay <u>$48,645</u>.

Step-by-step explanation:

Given:

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000, and state tax withholding of $4,000. Employers are required to withhold a 6.2% Social Security tax and a 1.45% Medicare tax.

Now, to find Susan's take-home pay.

Basic salary = $70,000.

Now, her tax withholdings:

Federal income tax = $12,000.

State tax = $4,000.

<u><em>Social security tax = 6.2% of $70,000.</em></u>

=\frac{6.2}{100} \times 70,000\\\\=0.062\times 70,000\\\\=\$4340.

<u><em>Medicare tax = 1.45% of $70,000.</em></u>

=\frac{1.45}{100} \times 70000\\\\=0.0145\times 70000\\\\=\$1015.

Now, to get the take-home pay of Susan's we subtract all the tax holdings of federal, state, social and medicare from the basic salary:

70,000-(12,000+4,000+4340+1015)

=70,000-(21,355)

=70,000-21,355

=\$48,645.

Therefore, Susan's take-home pay $48,645.

7 0
2 years ago
How many data entry clerks would you hire for a day if you spend 3000?
egoroff_w [7]
You would be able to hire 40.  Hope this helps
4 0
2 years ago
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