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Stells [14]
3 years ago
6

Simplify 2^3 x 2^18 A. 2^54 B. 4^54 C. 4^21 D. 2^21

Mathematics
1 answer:
maksim [4K]3 years ago
4 0
When you multiply powers, you add them. You keep the constant (2) the same.

3+18= 21

2^21 <=== the answer

“D” is the answer.

I hope this helps!
~kaikers
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Two forces act on an object. The first Force has a magnitude of 400 Newtons and acts at an angle of 30 degrees as measured from
Sedaia [141]

ANSWER

Option D is correct

EXPLANATION

We resolve the forces into component forms.

F_1 = 400 \cos(30) i + 400 \sin(30) j

F_1 = 200  \sqrt{3} i +200j

Also the second is resolved to obtain,

F_2= 280 \cos(135) i + 280 \sin(135) j.

F_2=  - 140 \sqrt{2} i + 140  \sqrt{2}  j

To find the resultant vector, V, We add the corresponding components of the two forces to get:

V=F_1+F_2

\implies \: V = (200  \sqrt{3} - 140 \sqrt{2} )i + (200 + 140 \sqrt{2})j

The correct answer is D.

3 0
3 years ago
The area of a circle is 3.14 square meters. What is the circle's radius?
lyudmila [28]

Answer:

1 m

Step-by-step explanation:

3.14 meter = 3.14/3.14 = 1 meter

sqrt.1 = 1 meter

4 0
3 years ago
Read 2 more answers
Select the graph and the description of the end behavior of f(x) = x3 + 2.
Dmitry [639]
F(x)=x^3+2
we see the power is odd
the ends go in opsoite directions
we know that if the leadind coefient (number in front of highest power term) is positive, then odd powered polynomials go from bottom left to top right
and for even ones, it goes both up

for negative, odd ones go from top left to bottom right
for even, both go down

we gots
f(x)=1x^3+2
positive and odd, so it goes from bottom left to top right

as x approaches negative inifnity, y approaches negaitve infinity
as x approaches infinity, y approaches infinity
8 0
3 years ago
Read 2 more answers
What is the solution to the system of equations? y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3
Sauron [17]

Answer:

The solution to the given system of equations is (-2,\frac{5}{3})

Therefore the values of x and y are x=-2 and y=\frac{5}{3}

Step-by-step explanation:

Given equations can be written as

y=\frac{2}{3}x+3\hfill (1)

x=-2x+3x=-2\hfill (2)

Solving equation(2) we get

x=-2

Substitute x=-2 in equation (1) we get

y=\frac{2}{3}(-2)+3

=-\frac{4}{3}+3

=\frac{-4+9}{3}

=\frac{5}{3}

Therefore the values of x and y are  x=-2 and y=\frac{5}{3}

The solution to the given system of equations is (-2,\frac{5}{3})

5 0
3 years ago
Read 2 more answers
Subtract the binomials. On simplifying (-3y2 − 8) − (-5y2 + 1), we get ____ y2 −______ .
Gala2k [10]
(-3y^2 − 8) − (-5y^2<span> + 1)
= </span>-3y^2 − 8 + 5y^2<span> - 1
= 2</span>y^2 <span>- 9

answer is

</span>2y^2 - 9<span>

</span>
6 0
3 years ago
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