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Alecsey [184]
2 years ago
13

Someone help me with this

Mathematics
1 answer:
qwelly [4]2 years ago
3 0

Answer:

D

Step-by-step explanation:

there are 9 digits.

and round it off to the nearest hundred million which is 3.

There are 8 digits before the 3... so 10 gets to the power of 8.___ 10⁸

3,0×10⁸ m.s^-1

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Can you please explain how you did it. Thanks!
vivado [14]
Well first you would start by setting up with a proportion.
In total, the girls paid $54+$22= $76
Thus 1 sister contributed $54/$76=x/100
The other sister contributed $22/$76=x/76
For each proportion, cross-multiply and simplify to get the percentage. The percentage will be the x
5 0
3 years ago
Read 2 more answers
After 9 months, the simple interest earned on an investment of $1200 is $72. find the interest rate.
Deffense [45]
Use the formula i=prt, where i is the interest earned, p is the principal, r is the rate (as a decimal fraction) and t is the elapsed time, in years.

Here i = $72 = $1200 r (9/12)                    (9 months is 9/12, or 3/4, of 1 year)
Reducing, 
              $72 = $900r
                                          Solving for r, r=0.08, or 8 percent per year.
7 0
3 years ago
Numbers that add to -0.5 and multiply to 1
Oliga [24]
Short Answer
There are two numbers
x1 = -0.25 + 0.9682i   <<<< answer 1
x2 = - 0.25 - 0.9582i   <<<< answer 2 
 
I take it there are two such numbers.
Let one number = x
Let one number = y

x + y = -0.5    
y = - 0.5 - x       (1)
xy = 1               (2)

Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1               Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0          Order these by powers
-x^2 - 0.5x -1 = 0           Multiply though by - 1
x^2 + 0.5x + 1 = 0         Use the quadratic formula to solve this.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 1
b = 0.5
c = 1


\text{x = }\dfrac{ -0.5 \pm \sqrt{0.5^{2} - 4*1*1 } }{2*1}

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i

x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i

These two are conjugates. They will add  as x1 + x2 = -0.25 - 0.25 = - 0.50.

The complex parts cancel out.  Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.

Check
(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375

Notice
The two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.

The final result is 0.9375 and 0.0625 add up to 1
 
7 0
3 years ago
(02.02 MC) Triangle ABC is shown. A is at negative 2, 1. B is at negative 1, 4. C is at negative 4, 5. If triangle ABC is reflec
Bezzdna [24]

Given:

The vertices of a triangle ABC are A(-2,1), B(-1,4) and C(-4,5).

Triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees.

To find:

The point B'.

Solution:

If a figure reflected over x-axis, then

(x,y)\to (x,-y)

B(-1,4)\to B_1(-1,-4)

If a figure reflected over y-axis, then

(x,y)\to (-x,y)

B_1(-1,-4)\to B_2(-(-1),-4)

B_1(-1,-4)\to B_2(1,-4)

If a figure rotated 180 degrees about the origin, then

(x,y)\to (-x,-y)

B_2(1,-4)\to B'(-(1),-(-4))

B_2(1,-4)\to B'(-1,4)

So, the coordinate of point B' are (-1,4).

Therefore, the correct option is A.

6 0
2 years ago
Which equation describes the same line as y- 6 = -4(x + 1)?
just olya [345]

Answer:

B. y=-4x+2

Step-by-step explanation:

y-6=-4x-4

y=-4x-4+6

y=-4x+2

8 0
3 years ago
Read 2 more answers
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