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3 years ago

Simplify the given expression below:

Mathematics

2 answers:

Alex Ar [27]3 years ago

7 0

Answer:

The answer is A. -2+5i.

Step-by-step explanation:

I took the test and got it right

ira [324]3 years ago

6 0

The answer is A. -2+5i.

First you set up the problem like this: (6+2i)-(8-3i)
Then you distribute the (-) into the second parenthesis. After doing that you should have something that looks like this: 6+2i-8+3i
Then you add like terms.

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Which box-and-whisker plot displays the data?

lisabon 2012 [21]

Answer:

Step-by-step explanation:

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3 years ago

Olivia made 14 outfits for her dolls. Each outfit used 3/5 of fabric. If she started with 10 3/4 yards of fabric, how much did s

Zepler [3.9K]

Answer:

0.1 yards of fabric

Step-by-step explanation:

Data provided in the question:

Number of outfits made for the doll = 14

Fabric used in each outfit = $\frac{3}{5}$ yards of fabric

Starting fabric available = 10 × $\frac{3}{4}$ or $\frac{30}{4}$ yards

Now,

The total fabric used in making the outfits of 14 dolls

= 14 × $\frac{3}{5}$ yards of fabric

= $\frac{42}{5}$ yards of fabric

Therefore,

The fabric left after making the outfits

= Fabric available in the start - Fabric used in making the outfits

= $\frac{30}{4}$ yards - $\frac{42}{5}$ yards

= $\frac{30\times5-42\times4}{4\times5}$ yards

= $\frac{150-168}{20}$ yards

= $\frac{2}{20}$ yards

= 0.1 yards of fabric

5 0

3 years ago

Find sin(u/2) if tan(u)=-7.721 and u is in quadrant 4

morpeh [17]

Answer:

.6601

Step-by-step explanation:

to find u, which we assume is an angle of course, we can take arctan of both sides. so arctan(-7.721) = -1.4420. this angle is in quadrant 4, but it is not in the range. In this instance you just go around the circle again, or add 2pi, which gets us 4.8412. You can check and you get the same answer if you take the tangent of either.

So now we have a number in the appropriate range in the appropriate quadrant. That means we have the correct angle. The question asks what is sine of that angle cut in half. so sin(4.8412/2), which gets you your answer. let em know if something didn't make sense.

7 0

3 years ago

A football player punts a ball. The path of the ball can be modeled by the equation y = –0.004x2 + x + 2.5, where x is the horiz

Galina-37 [17]

The answer is 252.5 ft

y = –0.004x² + x + 2.5
Let's take y = 0 and we'll get the quadratic equation:

–0.004x² + x + 2.5 = 0
The general formula for quadratic equation is:
ax² + bx + c = 0

a = -0.004
b = 1
c = 2.5

$x_{1,2} = \frac{-b+/- \sqrt{ b^{2}-4ac} }{2a} =\frac{-1+/- \sqrt{ 1^{2}-4*(-0.004)*2.5} }{2*(-0.004)} = \frac{-1+/- \sqrt{1+0.04} }{-0.008} = \\ 
=\frac{-1+/- \sqrt{1.04} }{-0.008} = \frac{-1+/-1.02}{-0.008}$

$x_1=\frac{-1+1.02}{-0.008} = \frac{0.02}{-0.008} = -2.5 \\ 
x_2=\frac{-1-1.02}{-0.008} = \frac{2.02}{-0.008} = 252.5$

Since distance cannot be negative (x1), the correct answer is x2 = 252.5 ft

5 0

3 years ago

Read 2 more answers

The area of a rectangle is 60 square inches.

xz_007 [3.2K]

X=7 because 7-3 = 4, 7+8= 15,15x4=60.

7 0

2 years ago