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Nitella [24]
3 years ago
8

Write the number in standard notation. 4.16 *10^-5 0.00000416 0.0000416 0.000416 –208

Mathematics
1 answer:
zalisa [80]3 years ago
4 0
4.16\cdot10^{-5}\\\\move\ the\ decimal\ 5\ place\ left\\\\4.16\cdot10^{-5}=0.0000416
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5. Solve the equation z^2 + 4z - 9 = 0 by completing the square.
Luba_88 [7]

Answer:

A. Z = 2 + N13

Step-by-step explanation:

Let's solve your equation step-by-step.

0=z2+4z−9

Step 1: Subtract z^2+4z-9 from both sides.

0−(z2+4z−9)=z2+4z−9−(z2+4z−9)

−z2−4z+9=0

For this equation: a=-1, b=-4, c=9

−1z2+−4z+9=0

Step 2: Use quadratic formula with a=-1, b=-4, c=9.

z=

−b±√b2−4ac

2a

z=

−(−4)±√(−4)2−4(−1)(9)

2(−1)

z=

4±√52

−2

z=−2−√13 or z=−2+√13

8 0
3 years ago
Let f(x)=15/(1+4e)^(-0.2x)<br><br> What is the y-intercept of the graph of f(x) ?
sergejj [24]
That means when x=0
e^-0.2x =e^0=1
So f(0)=15/5=3
5 0
3 years ago
Read 2 more answers
Simplify the expression.
Sati [7]

Answer:

LAST OPTION: x^9

Step-by-step explanation:

For this exercise it is important to remember the Power of a power property, which states that:

(a^m)^n=a^{mn}

The expression given in the exercise is:

(x^\frac{3}{2})^6

Therefore, in order to simplify it, you  must apply the Power of a power property explained before.

Then, you get the following expression:

=x^{(\frac{3}{2}*6)}=x^{(\frac{3*6}{2})}=x^{\frac{18}{2}}=x^9

As you can notice, the expression obtained matches with the expression provided in the last option.

6 0
3 years ago
A shoreline is eroding at a rate of 1/3 foot per 3 months. How many feet are eroding per year?
Charra [1.4K]

1 1/3 feet

Have a great day!

7 0
3 years ago
Gina sells 216 cakes in ratio small : medium: large=5:7:12 The profit for one medium cake is twice the profit for one small cake
Hunter-Best [27]

Answer:

£1.31

Step-by-step explanation:

5+7+12=24

216÷24=9

Small=9x5=45

Medium=9x7=63

Large=9x12=108

2x= Medium, Large= 3x, Small=x

Small=45x, Medium= 63x2=126x, Large=108x3=324x

45x+126x+324x=495x

£648.45=495x

£648.45÷495=x

£1.31=x

If this helps please give me Brainliest

3 0
2 years ago
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